Find Missing Angles Quiz

<p>In the figure below, `oversetleftrightarrow(PQ)` is a line. </p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 9, "columns": 12, "padding": 1 }, "hide_points": false, "origin": { "x": 6, "y": 2, "label": "O", "label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 5, "end_vertex_label": "Q", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 65, "end_vertex_label": "S", "extend": false }, { "id": 3, "length": 6, "angle": 95, "end_vertex_label": "R", "extend": false }, { "id": 4, "length": 6, "angle": 185, "end_vertex_label": "P", "extend": false } ], "arcs": [ { "from_id": 2, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": "30°", "show_arc": true }, { "from_id": 3, "to_id": 4, "radius": "m", "color": "black", "hash_marks": 0, "label": "90°", "show_arc": true }, { "from_id": 1, "to_id": 2, "radius": "m", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true } ], "debug": false}'></AngleGraph ><p>Find the value of `∠SOQ`.</p>

<p>In the diagram below, `oversetleftrightarrow(BC)` is a straight line.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 12, "columns": 11, "padding": 1 }, "hide_points": false, "origin": { "x": 5, "y": 7, "label": "O","label_position": "top-left", "hide_point": false }, "lines": [ { "id": 1, "length": 7, "angle": 45, "end_vertex_label": "C", "color": "black", "extend": false }, { "id": 2, "length": 7, "angle": 225, "end_vertex_label": "B", "extend": false }, { "id": 3, "length": 7, "angle": 279, "end_vertex_label": "A", "extend": false } ], "arcs": [ { "from_id": 2, "to_id": 3, "radius": "s", "color": "black", "hash_marks": 0, "label": "54°", "show_arc": true }, { "from_id": 3, "to_id": 1, "radius": "m", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true } ], "debug": false}'></AngleGraph ><p>Solve for the measure of `∠AOC`.</p>

<p>In the diagram below, `oversetleftrightarrow(QR)` is a straight line.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 13, "columns": 12, "padding": 1 }, "hide_points": false, "origin": { "x": 6, "y": 5, "label": "O", "label_position": "bottom-right", "hide_point": false }, "lines": [ { "id": 1, "length": 8, "angle": 40, "end_vertex_label": "R", "color": "black", "extend": false }, { "id": 2, "length": 8, "angle": 80, "end_vertex_label": "P", "extend": false }, { "id": 3, "length": 7, "angle": 220, "end_vertex_label": "Q", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "s", "color": "black", "hash_marks": 0, "label": "40°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "l", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true } ], "debug": false}'></AngleGraph ><p>Solve for the measure of `∠POQ`.</p>

<p>Solve for the measure of `∠AOC`.</p><AngleGraph data-props='{"options": {"cell_size": 20,"rows": 7,"columns": 8,"padding": 1},"hide_points": false,"origin": {"x": 0.5,"y": 1,"label": "O","label_position": "bottom","hide_point": true},"lines": [{"id": 1,"length": 7,"angle": 0,"end_vertex_label": "B","color": "black", "extend": false},{"id": 2,"length": 7,"angle": 40,"end_vertex_label": "C", "extend": false},{"id": 3,"length": 5.5,"angle": 90,"end_vertex_label": "A", "extend": false}],"arcs": [{"from_id": 1,"to_id": 2,"radius": "","color": "black","hash_marks": 0,"label": "40°","show_arc": false},{"from_id": 2,"to_id": 3,"radius": "","color": "black","hash_marks": 0,"label": "x°","show_arc": false} ,{"from_id": 1,"to_id": 3,"radius": " ","color": "black","hash_marks": 0,"label": " ","show_arc": true}], "debug": false}'></AngleGraph >

<p>In the figure below, `oversetleftrightarrow(AB)` is a line. Find the value of `x`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 8, "columns": 13, "padding": 1 }, "hide_points": false, "origin": { "x": 6.5, "y": 1, "label": "O","label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": 0, "end_vertex_label": "B", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 26, "end_vertex_label": "C", "extend": false }, { "id": 3, "length": 6, "angle": 78, "end_vertex_label": "D", "extend": false }, { "id": 4, "length": 6, "angle": 180, "end_vertex_label": "A", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "s", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "m", "color": "black", "hash_marks": 0, "label": "2x° ", "show_arc": true }, { "from_id": 3, "to_id": 4, "radius": "l", "color": "black", "hash_marks": 0, "label": "102°", "show_arc": true } ], "debug": false}'></AngleGraph >

<p>In the given figure, find the value of `x`.</p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 11, "columns": 11, "padding": 1 }, "hide_points": false, "origin": { "x": 4, "y": 5, "label": "O","label_position": "top", "hide_point": false }, "lines": [ { "id": 1, "length": 6, "angle": -60, "end_vertex_label": "B", "color": "black", "extend": false }, { "id": 2, "length": 6, "angle": 10, "end_vertex_label": "C", "extend": false }, { "id": 3, "length": 6, "angle": 130, "end_vertex_label": "D", "extend": false }, { "id": 4, "length": 6, "angle": 230, "end_vertex_label": "A", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "s", "color": "black", "hash_marks": 0, "label": "x°", "show_arc":true }, { "from_id": 2, "to_id": 3, "radius": "m", "color": "black", "hash_marks": 0, "label": "120°", "show_arc": false }, { "from_id": 3, "to_id": 4, "radius": "l", "color": "black", "hash_marks": 0, "label": "100°", "show_arc": false }, { "from_id": 4, "to_id": 1, "radius": "m", "color": "black", "hash_marks":0 , "label": " 70°", "show_arc": false } ], "debug": false}'></AngleGraph >

<p>In the diagram below, `oversetleftrightarrow(YZ)` is a straight line.</p> <AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 11, "columns": 14, "padding": 1 }, "hide_points": false, "origin": { "x": 7, "y": 4, "label": "O","label_position": "bottom", "hide_point": true }, "lines": [ { "id": 1, "length": 7, "angle": 20, "end_vertex_label": "Z", "extend": false }, { "id": 2, "length": 7, "angle": 57.2, "end_vertex_label": "X", "extend": false }, { "id": 3, "length": 7, "angle": 200, "end_vertex_label": "Y", "color": "black", "extend": false } ], "arcs": [ { "from_id": 1, "to_id": 2, "radius": "s", "color": "black", "hash_marks": 0, "label": "x°", "show_arc": true }, { "from_id": 2, "to_id": 3, "radius": "m", "color": "black", "hash_marks": 0, "label": "122°", "show_arc": true } ], "debug": false }'></AngleGraph > <p>Solve for the measure of `∠XOZ`.</p>

<p>In the figure below, `oversetleftrightarrow(AB)` is a line. </p><AngleGraph data-props='{ "options": { "cell_size": 20, "rows": 6, "columns": 10, "padding": 1 }, "hide_points": false, "origin": { "x": 5, "y": 1, "label": "O","label_position": "bottom", "hide_point": false }, "lines": [ { "id": 1, "length": 5, "angle": 0, "end_vertex_label": "B", "extend": false }, { "id": 2, "length": 5, "angle": 28, "end_vertex_label": "C", "extend": false }, { "id": 3, "length": 5, "angle": 118, "end_vertex_label": "D", "extend": false }, { "id": 4, "length": 5, "angle": 180, "end_vertex_label": "A", "extend": false } ], "arcs": [ { "from_id": 2, "to_id": 3, "radius": "s", "show_arc": true, "color": "black", "label": "" }, { "from_id": 1, "to_id": 2, "radius": "m", "show_arc": true, "color": "black", "label": "28°" }, { "from_id": 3, "to_id": 4, "radius": "m", "show_arc": true, "color": "black", "label": "a°" } ], "label_top": " "}'></AngleGraph ><p>Find the value of `a`.</p>