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Find the measure of the exterior angle

Find the measure of the exterior angle-example-1
User Meliborn
by
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1 Answer

4 votes

Answer:

60

Explanation:

Exterior angle property:

Exterior angle of the triangle equals the sum of opposite interior angle.

4z + z + 10 = z + 50

5z + 10 = z + 50

Subtract 10 from both sides,

5z = z + 50 - 10

5z = z + 40

Subtract z from both sides,

5z - z = 40

4z = 40

Divide both sides by 4,

z = 40 ÷ 4

z = 10

Exterior angle = z + 50

= 10 + 50

= 60

User AlanKalane
by
3.6k points