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11. Find the measures of the exterior angles of the polygon

11. Find the measures of the exterior angles of the polygon-example-1
User Eyal Biran
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1 Answer

3 votes

Answer:

80° , 80° , 100° , 100°

Explanation:

the exterior angles of a polygon sum to 360°

sum the 4 angles, equate to 360 and solve for x

2x + 2x + 80 + 80 = 360 ( simplify left side )

4x + 160 = 360 ( subtract 160 from both sides )

4x = 200 ( divide both sides by 4 )

x = 50

Then

2x = 2 × 50 = 100

the 4 exterior angles are 80° , 80° , 100° , 100°

User AB Bolim
by
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