Find Missing Angle Using Exterior Angle Theorem Quiz

<p>What is the value of `x`?</p> <UiTriangleV2 data-props='{ "options": { "cell_size": 12.5, "rows": 4, "columns": 15, "padding": 3, "xOffset": 5, "yOffset": -1.5 }, "scale_factor": 6, "vertex": { "top": { "label": "P", "angle": 90 }, "left": { "label": "Q", "angle": 20, "labelYOffset": -0.5, "labelXOffset": 0.9 }, "right": { "label": "R", "angle": 70, "labelXOffset": -1.5, "labelYOffset": 0 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "labelXOffset": 8, "labelYOffset": 10, "show_arc": false, "label": "70°" }, { "position": "left", "labelXOffset": 20, "labelYOffset": -5, "label": "20°" } ], "extend": { "side": "left", "direction": 1, "length": 50, "label": "S", "angleLabel": "x°", "angleLabelYOffset": 5, "angleLabelXOffset": -20, "labelYOffset": -2.5, "labelXOffset": -3 }, "background_color": "white", "border_color": "black", "rotation_angle": 0}'></UiTriangleV2>

<p>What is the value of `x`?</p> <UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 11, "columns": 9, "padding": 2, "xOffset": -3, "yOffset": -2.5 }, "scale_factor": 5, "vertex": { "top": { "label": "P", "angle": 80, "labelXOffset": -0.3, "labelYOffset": -2 }, "left": { "label": "Q", "angle": 50, "labelYOffset": -0.5, "labelXOffset": 3 }, "right": { "label": "R", "angle": 50, "labelXOffset": -0.2 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "show_arc": false, "label": "50°", "labelXOffset": -2, "labelYOffset": 8 }, { "position": "left", "labelXOffset": 2, "labelYOffset": -2, "label": "50°" } ], "extend": { "side": "left", "direction": 1, "length": 70, "label": "S", "end": false, "angleLabel": "x°", "angleLabelYOffset": 17, "angleLabelXOffset": 15, "labelYOffset": -1, "labelXOffset": 3.4 }, "background_color": "white", "border_color": "black", "rotation_angle": 131}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 5, "columns": 14, "padding": 1.5, "xOffset": -0.3, "yOffset": 0 }, "scale_factor": 5, "vertex": { "top": { "label": "R", "angle": 68, "labelYOffset": 0.3 }, "left": { "label": "Q", "angle": 90, "labelYOffset": 0, "labelXOffset": 1.3 }, "right": { "label": "P", "angle": 22, "labelXOffset": -1 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "top","show_arc": false, "labelXOffset": -2, "labelYOffset": -10, "label": "68°" }, { "position": "left","show_arc": true, "labelXOffset": -10, "labelYOffset": 20, "label": "" }, { "position": "right", "labelXOffset": 5, "labelYOffset": -2, "label": "" } ], "extend": { "side": "base", "direction": 1, "length": 70, "arcColor": " ", "labelColor": " ", "label": "S", "angleLabel": "x°","showArc": false, "labelYOffset": 0, "angleLabelYOffset": -15, "end": "arrow" }, "background_color": "white", "border_color": "black", "rotation_angle": 0}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 12, "columns": 11, "padding": 1, "xOffset": 0, "yOffset": 1 }, "scale_factor": 6, "vertex": { "top": { "label": "P", "angle": 60, "labelXOffset": 2 }, "left": { "label": "R", "angle": 90, "labelYOffset": 2 }, "right": { "label": "Q", "angle": 30, "labelXOffset": -1 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "show_arc": false, "label": "x°", "color": " ", "label_color": "black", "labelXOffset": -3 }, { "position": "top", "labelXOffset": 4, "label": " " }, { "position": "left", "show_arc": true, "label": " " } ], "extend": { "side": "left", "direction": 1, "length": 70, "arcColor": " ", "labelColor": "black", "label": "S", "angleLabel": "120°", "labelYOffset": 3, "showArc": false, "angleLabelYOffset": -25, "angleLabelXOffset": 5 }, "background_color": "white", "border_color": "black", "rotation_angle": -90}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 9, "columns": 12, "padding": 1.2, "xOffset": ".5", "yOffset": -1 }, "scale_factor": 5, "vertex": { "top": { "label": "P", "angle": 69, "labelXOffset": -1, "labelYOffset": 0 }, "left": { "label": "Q", "angle": 39, "labelYOffset": 0, "labelXOffset": 1.3 }, "right": { "label": "R", "angle": 72, "labelXOffset": -2 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "show_arc": false, "label": "72°", "labelXOffset": 10, "labelYOffset": 10 }, { "position": "left", "labelXOffset": -1, "labelYOffset": -1, "label": "39°" } ], "extend": { "side": "left", "direction": 1, "length": 70, "label": "S", "end": false, "angleLabel": "x°", "angleLabelYOffset": 10, "labelYOffset": -1.7, "labelXOffset": -3, "angleLabelXOffset": -25 }, "background_color": "white", "border_color": "black", "rotation_angle": 6}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 14, "columns": 9, "padding": 1, "yOffset": -1, "xOffset": -3 }, "scale_factor": 5, "vertex": { "top": { "label": "P", "angle": 45, "labelXOffset": -1 }, "left": { "label": "Q", "angle": 70, "labelYOffset": -1,"labelXOffset":1 }, "right": { "label": "R", "angle": 65, "labelXOffset": -1 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "labelXOffset": 5, "labelYOffset": 5, "show_arc": false, "label": "65°" }, { "position": "left", "labelXOffset": -15, "labelYOffset": 1, "label": "x°" } ], "extend": { "side": "left", "direction": 1, "length": 70, "label": "S", "angleLabel": "135°", "angleLabelYOffset": 0, "angleLabelXOffset": -13, "labelYOffset": -1, "labelXOffset": -2 }, "background_color": "white", "border_color": "black", "rotation_angle": 10}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 6, "columns": 16, "padding": 1, "xOffset": -3 }, "scale_factor": 5, "vertex": { "top": { "label": "R", "angle": 75, "labelXOffset": 0, "labelYOffset": 0 }, "left": { "label": "Q", "angle": 38, "labelYOffset": 0, "labelXOffset": 1.2 }, "right": { "label": "P", "angle": 29, "labelXOffset": -1 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "top", "show_arc": false, "label": "75°", "labelXOffset": 3, "labelYOffset": -22 }, { "position": "left", "labelXOffset": -3, "labelYOffset": 2, "label": "38°" } ], "extend": { "side": "base", "direction": 1, "length": 70, "label": "S", "end": false, "angleLabel": "x°", "angleLabelYOffset": -30, "labelYOffset": 0 }, "background_color": "white", "border_color": "black", "rotation_angle": 9}'></UiTriangleV2>

<p>What is the value of `x`?</p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 10, "columns": 10, "padding": 1.2, "xOffset": 0, "yOffset": 0 }, "scale_factor": 5, "vertex": { "top": { "label": "R", "angle": 30, "labelXOffset": -1.2, "labelYOffset": 1 }, "left": { "label": "Q", "angle": 90, "labelYOffset": -0.1, "labelXOffset": 0.6 }, "right": { "label": "P", "angle": 60, "labelXOffset": -1 } }, "sides": { "base": {}, "left": {}, "right": {} }, "arcs": [ { "position": "right", "show_arc": false, "label": " ", "color": " ", "label_color": " " }, { "position": "top", "labelXOffset": 4, "labelYOffset": 9, "label": "30°" }, { "position": "left", "show_arc": true, "label": " " } ], "extend": { "side": "base", "direction": 1, "length": 70, "arcColor": " ", "labelColor": " ", "label": "S", "angleLabel": "x°", "labelYOffset": 0, "angleLabelYOffset": -25, "angleLabelXOffset": -10, "showArc": false }, "background_color": "white", "border_color": "black", "rotation_angle": 0}'></UiTriangleV2>