Finding Missing Angle Measures With Parallel Lines Using Angle Pairs Problems

5 questions
preview button iconPreview student experience

#1 of 5: Medium

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs

<p>If the measure of `∠ACB = 62°`, what is the measure of `∠GFH`?</p><AngleGraph data-props='{ "options": { "cell_size": 17.5, "columns": 14, "padding": 0.2, "rows": 13 }, "hide_points": false, "debug": false, "origin": { "hide_point": false, "label": "F", "x": 10, "y": 4.7, "label_position": "top" }, "lines": [ { "angle": -40, "end_vertex_label": "H", "id": 1, "length": 5 }, { "angle": 22, "end_vertex_label": "G", "id": 2, "length": 6, "parallel_arrow": true }, { "angle": 140, "end_vertex_label": "C", "id": 3, "length": 5, "hide_arrow": true, "hide_label": true }, { "angle": 202, "end_vertex_label": "E", "id": 4, "length": 6 }, { "angle": 22, "end_vertex_label": "D", "parallel_arrow": true, "id": 5, "length": 6, "origin": { "x": 6.2, "y": 7.9, "label": "C" }, "color": "black" }, { "angle": 202, "end_vertex_label": "B", "id": 6, "length": 6, "origin": { "x": 6.2, "y": 7.9, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 140, "end_vertex_label": "A", "id": 7, "length": 5, "origin": { "x": 6.2, "y": 7.9, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 320, "end_vertex_label": "F", "id": 8, "length": 0, "origin": { "x": 6.2, "y": 7.9, "label": "C", "hide_label": true }, "color": "black" } ], "arcs": [ { "from_id": 1, "to_id": 2, "color": "red", "label": "", "radius": "xs", "show_arc": true }, { "from_id": 7, "to_id": 6, "label": "62° ", "radius": "xs", "color": "blue", "show_arc": true } ]}'></AngleGraph>

#2 of 5: Mild

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs

<p>If the measure of `∠ACD = 134°`, what is the measure of `∠CFG`?</p><AngleGraph data-props='{ "options": { "cell_size": 17.5, "columns": 14, "padding": 0, "rows": 9.5 }, "hide_points": false, "debug": false, "origin": { "hide_point": false, "label": "F", "x": 10.5, "y": 2.5 }, "lines": [ { "angle": -30, "end_vertex_label": "H", "id": 1, "length": 5 }, { "angle": 16, "end_vertex_label": "G", "id": 2, "length": 5, "parallel_arrow": true }, { "angle": 150, "end_vertex_label": "C", "id": 3, "length": 5.7, "hide_arrow": true, "hide_label": true }, { "angle": 196, "end_vertex_label": "E", "id": 4, "length": 5 }, { "angle": 16, "end_vertex_label": "D", "id": 5, "parallel_arrow": true, "length": 5, "origin": { "x": 5.5, "y": 5.4, "label": "C" }, "color": "black" }, { "angle": 150, "end_vertex_label": "A", "id": 6, "length": 5, "origin": { "x": 5.5, "y": 5.4, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 196, "end_vertex_label": "B", "id": 7, "length": 4.8, "origin": { "x": 5.5, "y": 5.4, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 330, "end_vertex_label": "F", "id": 8, "length": 0, "origin": { "x": 5.5, "y": 5.4, "label": "C", "hide_label": true }, "color": "black" } ], "arcs": [ { "from_id": 2, "to_id": 3, "color": "red", "label": " ", "radius": "xs", "show_arc": true }, { "from_id": 5, "to_id": 3, "label": "134°", "radius": "xs", "color": "blue", "show_arc": true } ]}'></AngleGraph>

#3 of 5: Mild

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs

<p>If the measure of `∠TUW = 120°`, what is the measure of `∠QRU`?</p><AngleGraph data-props='{ "options": { "cell_size": 17.5, "columns": 14, "padding": 0, "rows": 11 }, "hide_points": false, "debug": false, "origin": { "hide_point": false, "label": "U", "x": 8.5, "y": 3.7, "label_position": "top" }, "lines": [ { "angle": -50, "end_vertex_label": "W", "id": 1, "length": 5 }, { "angle": 10, "end_vertex_label": "V", "id": 2, "length": 6, "parallel_arrow": true }, { "angle": 130, "end_vertex_label": "R", "id": 3, "length": 4, "hide_arrow": true, "hide_label": true }, { "angle": 190, "end_vertex_label": "T", "id": 4, "length": 6 }, { "angle": 10, "end_vertex_label": "S", "parallel_arrow": true, "id": 5, "length": 6, "origin": { "x": 5.9, "y": 6.9, "label": "R", "label_position": "top" }, "color": "black" }, { "angle": 190, "end_vertex_label": "Q", "id": 6, "length": 5, "origin": { "x": 5.9, "y": 6.9, "label": "R", "hide_label": true }, "color": "black" }, { "angle": 130, "end_vertex_label": "P", "id": 7, "length": 3.5, "origin": { "x": 5.9, "y": 6.9, "label": "R", "hide_label": true }, "color": "black" }, { "angle": 310, "end_vertex_label": "U", "id": 8, "length": 0, "origin": { "x": 5.9, "y": 6.9, "label": "R", "hide_label": true }, "color": "black" } ], "arcs": [ { "from_id": 4, "to_id": 1, "color": "blue", "label": "120°", "radius": "xs", "show_arc": true }, { "from_id": 6, "to_id": 1, "color": "red", "label": "", "radius": "xs", "show_arc": true } ]}'></AngleGraph>

#4 of 5: Medium

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs

<p>If the measure of `∠DCF = 49°`, what is the measure of `∠CFE`?</p><AngleGraph data-props='{ "options": { "cell_size": 17.5, "columns": 14, "padding": 0.2, "rows": 13,"arc_label_space" : "1.5" }, "hide_points": false, "debug": false, "origin": { "hide_point": false, "label": "F", "x": 10, "y": 4.7, "label_position": "top" }, "lines": [ { "angle": -35, "end_vertex_label": "H", "id": 1, "length": 5 }, { "angle": 14, "end_vertex_label": "G", "id": 2, "length": 6, "parallel_arrow": true }, { "angle": 145, "end_vertex_label": "C", "id": 3, "length": 5, "hide_arrow": true, "hide_label": true }, { "angle": 194, "end_vertex_label": "E", "id": 4, "length": 6 }, { "angle": 14, "end_vertex_label": "D", "parallel_arrow": true, "id": 5, "length": 6, "origin": { "x": 5.7, "y": 7.7, "label": "C" }, "color": "black" }, { "angle": 194, "end_vertex_label": "B", "id": 6, "length": 5.9, "origin": { "x": 5.7, "y": 7.7, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 145, "end_vertex_label": "A", "id": 7, "length": 5, "origin": { "x": 5.7, "y": 7.7, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 325, "end_vertex_label": "F", "id": 8, "length": 0, "origin": { "x": 5.7, "y": 7.7, "label": "C", "hide_label": true }, "color": "black" } ], "arcs": [ { "from_id": 3, "to_id": 4, "color": "red", "label": "", "radius": "xs", "show_arc": true }, { "from_id": 8, "to_id": 5, "label": "49°", "radius": "xs", "color": "blue", "show_arc": true } ]}'></AngleGraph>

#5 of 5: Medium

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs

<p>If the measure of `∠EFH = 128°`, what is the measure of `∠ACB`?</p><AngleGraph data-props='{ "options": { "cell_size": 17.5, "columns": 14, "padding": 0.2, "rows": 13 }, "hide_points": false, "debug": false, "origin": { "hide_point": false, "label": "F", "x": 10, "y": 4.7, "label_position": "top" }, "lines": [ { "angle": -40, "end_vertex_label": "H", "id": 1, "length": 5 }, { "angle": 12, "end_vertex_label": "G", "id": 2, "length": 5.7, "parallel_arrow": true }, { "angle": 140, "end_vertex_label": "C", "id": 3, "length": 5, "hide_arrow": true, "hide_label": true }, { "angle": 192, "end_vertex_label": "E", "id": 4, "length": 6 }, { "angle": 12, "end_vertex_label": "D", "parallel_arrow": true, "id": 5, "length": 6, "origin": { "x": 6.1, "y": 8, "label": "C", "label_position": "top" }, "color": "black" }, { "angle": 192, "end_vertex_label": "B", "id": 6, "length": 5.5, "origin": { "x": 6.1, "y": 8, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 140, "end_vertex_label": "A", "id": 7, "length": 5, "origin": { "x": 6.1, "y": 8, "label": "C", "hide_label": true }, "color": "black" }, { "angle": 320, "end_vertex_label": "F", "id": 8, "length": 0, "origin": { "x": 6.1, "y": 8, "label": "C", "hide_label": true }, "color": "black" } ], "arcs": [ { "from_id": 4, "to_id": 1, "color": "blue", "label": "128°", "radius": "xs", "show_arc": true }, { "from_id": 7, "to_id": 6, "label": "", "radius": "xs", "color": "red", "show_arc": true } ]}'></AngleGraph>

Finding Missing Angle Measures With Parallel Lines Using Angle Pairs Practice Problems is a key concept in the Common Core standards for Parallel Lines. Math teachers can provide practice problems that require students to identify corresponding, alternate interior, alternate exterior, and consecutive interior angles, and use their ...

Show all
Grade 8
Parallel Lines
8.G.A.5

What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”

What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”