40 12 in a quadrilateral each of two angles has a measure of 132. The measure of a second angle is 26.
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Solution use the polygon exterior angles theorem to write and solve an equation.
Angles in polygons worksheet pdf. Section 7 1 angles of polygons 363 finding an unknown exterior angle measure find the value of x in the diagram. What is the measure of the remaining angle. Angles with vertex c but they also form together one angle of the quadrilateral.
Round your answer to the nearest tenth if necessary. 1 108 2 135 3 147 3 4 120 5 140 6 150 7 regular 24 gon 165 8 regular quadrilateral 90 9 regular 23 gon 164 3 10 regular 16 gon 157 5. Polygons and angles date period find the measure of one interior angle in each polygon.
Angle measures in polygons worksheet 2 11 in a triangle the measure of the largest angle is 114. Similarly angle cab and angle dac are angles in the two triangles the two marked angles with vertex a but they also form together another angle of the quadrilateral. The measure of a third angle is 75.
Key words interior angle p. X 2x 89 67 360 polygon exterior angles theorem 3x 156 360 combine like terms. N s w nw ne sw se e space and shape 143 angles triangles and polygons 1 describe the turn the minute hand of a clock makes between these times.
In the diagrams shown below interior angles are red and exterior angles. X 68 solve for x. A 3 am and 3 30 am b 6 45 pm and 7 pm c 2215 and 2300 d 0540 and 0710 2 here is a diagram of a compass.
The value of x is 68. You are given a starting direction and a description of a turn. 8 2 angles in polygons 417 goal find the measures of interior and exterior angles of polygons.
181 the definitions for interior angles and exterior angles can be extended to include angles formed in any polygon. 181 exterior angle p.
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