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Find measure of angle S
A. 10
B. 34
C. 68
D. 102

Find measure of angle S A. 10 B. 34 C. 68 D. 102-example-1

1 Answer

6 votes

Answer:

C

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 8 + 6x + 34 = 42 + 6x ( subtract 6x from both sides )

4x + 2 = 42 ( subtract 2 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

Thus

∠ S = 8 + 6x = 8 + 6(10) = 8 + 60 = 68° → C

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