Find Missing Angles (Simple Figures) Problems

7 questions

#1 of 7:Mild

Find missing angles (simple figures)

<p>Solve for the measure of `∠NOP`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 9, "columns": 8, "padding": 1,"arc_label_space":0.8 }, "hide_points": false, "origin": { "x": 0.5, "y": 8, "label": "O", "label_position": "top", "hide_point": true }, "lines": [ { "id": 1, "length": 8, "angle": -90, "end_vertex_label": "M", "label_position": "bottom-left", "color": "black", "extend": false }, { "id": 2, "length": 8, "angle": -55, "end_vertex_label": "N", "extend": false }, { "id": 3, "length": 7, "angle": 0, "end_vertex_label": "P", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "xl", "color": "black", "hash_marks": 0, "label": "35°", "show_arc": false }, { "from_id": 2, "to_id": 3, "radius": "l", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": false }, { "from_id": 1, "to_id": 3, "radius": "l", "color": "black", "hash_marks": 0, "label": " ", "show_arc": true } ], "debug": false}'></AngleGraph >

#2 of 7:Medium

Find missing angles (simple figures)

<p>Solve for the measure of `∠IOJ`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 10, "columns": 10, "padding": 1,"arc_label_space":0.5 }, "hide_points": false, "origin": { "x": 3, "y": 1, "label": "O","label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 7, "angle": 20, "end_vertex_label": "K", "color": "black", "extend": false }, { "id": 2, "length": 7, "angle": 78, "end_vertex_label": "J", "extend": false }, { "id": 3, "length": 7, "angle": 110, "end_vertex_label": "I", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "l", "color": "black", "hash_marks": 0, "label": "58°", "show_arc": false }, { "from_id": 2, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": false }, { "from_id": 1, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": " ", "show_arc": true } ], "debug": false}'></AngleGraph >

#3 of 7:Medium

Find missing angles (simple figures)

<p>In the figure below, `oversetleftrightarrow(PQ)` is a line. Find the value of `u`</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 7, "columns": 12, "padding": 1 }, "hide_points": false, "origin": { "x": 6, "y": 1, "label": "T","label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 10, "end_vertex_label": "Q", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 107, "end_vertex_label": "R", "extend": false }, { "id": 3, "length": 6, "angle": 136, "end_vertex_label": "S", "extend": false }, { "id": 4, "length": 6, "angle": 190, "end_vertex_label": "P", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "l", "color": "black", "hash_marks": 0, "label": "107°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": "29°", "show_arc": true }, { "from_id": 3, "to_id": 4, "radius": "m", "color": "black", "hash_marks": 0, "label": "u°", "show_arc": true } ], "debug": false}'></AngleGraph >

#4 of 7:Medium

Find missing angles (simple figures)

<p>In the given figure, solve for the value of `p`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 13, "columns": 13, "padding": 1 }, "hide_points": false, "origin": { "x": 6.5, "y": 6, "label": "O","label_position": "bottom-right", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 0, "end_vertex_label": "A", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 73, "end_vertex_label": "B", "extend": false }, { "id": 3, "length": 6, "angle": 181, "end_vertex_label": "C", "extend": false }, { "id": 4, "length": 6, "angle": 245, "end_vertex_label": "D", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "m", "color": "black", "hash_marks": 0, "label": "73°", "show_arc": false }, { "from_id": 2, "to_id": 3, "radius": "l", "color": "black", "hash_marks": 0, "label": "108°", "show_arc": false }, { "from_id": 3, "to_id": 4, "radius": "s", "color": "black", "hash_marks": 0, "label": "64°", "show_arc": false }, { "from_id": 4, "to_id": 1, "radius": "m", "color": "black", "hash_marks": 0, "label": " p°", "show_arc": true } ], "debug": false}'></AngleGraph >

#5 of 7:Medium

Find missing angles (simple figures)

<p>In the given figure, solve for the value of `x`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 12, "columns": 12, "padding": 1 }, "hide_points": false, "origin": { "x": 6, "y": 5, "label": "E","label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 30, "end_vertex_label": "C", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 105, "end_vertex_label": "B", "extend": false }, { "id": 3, "length": 5.5, "angle": 175, "end_vertex_label": "A", "extend": false }, { "id": 4, "length": 6, "angle": -45, "end_vertex_label": "D", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "s", "color": "black", "hash_marks": 1, "label": "75°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "xs", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true }, { "from_id": 3, "to_id": 4, "radius": "m", "color": "black", "hash_marks": 0, "label": "2x°", "show_arc": true }, { "from_id": 4, "to_id": 1, "radius": "s", "color": "black", "hash_marks": 1, "label": " ", "show_arc": true } ], "debug": false}'></AngleGraph >

#6 of 7:Spicy

Find missing angles (simple figures)

<p>In the diagram below, `oversetleftrightarrow(RP)` is a straight line.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 8, "columns": 14, "padding": 1,"arc_label_space":0.3 }, "hide_points": false, "origin": { "x": 7, "y": 5, "label": "O","label_position": "top", "hide_point": true }, "lines": [ { "id": 1, "length": 7, "angle": 10, "end_vertex_label": "P","extend": false }, { "id": 2, "length": 7, "angle": 190, "end_vertex_label": "R","extend": false }, { "id": 3, "length": 7, "angle": 326.4, "end_vertex_label": "Q", "color": "black","extend": false } ], "arcs": [ { "from_id": 2, "to_id": 3, "radius": "m", "color": "black", "hash_marks": 0, "label": "136°", "show_arc": true }, { "from_id": 3, "to_id": 1, "radius": "s", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true } ], "debug": false}'></AngleGraph ><p>Solve for the measure of `∠POQ`.</p>

#7 of 7:Spicy

Find missing angles (simple figures)

<p>In the given figure, solve for the value of `d`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 11, "columns": 12, "padding": 1 }, "hide_points": false, "origin": { "x": 5, "y": 6, "label": "E","label_position": "bottom-right", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 0, "end_vertex_label": "C", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 138, "end_vertex_label": "B", "extend": false }, { "id": 3, "length": 6, "angle": 221, "end_vertex_label": "A", "extend": false }, { "id": 4, "length": 6, "angle": -85, "end_vertex_label": "D", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "m", "color": "black", "hash_marks": 0, "label": "d°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": "83°", "show_arc": false }, { "from_id": 3, "to_id": 4, "radius": "l", "color": "black", "hash_marks": 0, "label": "54°", "show_arc": false }, { "from_id": 4, "to_id": 1, "radius": "1", "color": "black", "hash_marks": 0, "label": " 85°", "show_arc": false } ], "debug": false}'></AngleGraph >

Angles are the geometrical figure formed by the two rays meeting at the same point. Every shape has a different angle value depending on the standard of rules in geometry. It can be found using geometric properties. Find missing angles problems can smoothly help students to understand the specific angle properties and the importance of angles in geometry.

Teachers can also give these problems to students to enhance their practice and understanding of the angle concepts.

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7.G.B.5

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What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
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 Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”