If m∠2 = 8x − 20, and m∠3 = 5x + 5, what is m∠2? What is m∠3? *

Explanation:

Let m∠2 and m∠3 be vertical angles. Vertical angles are equal, hence m∠2 = m∠3

Equate both expressions:

8x-20 = 5x+5

8x-5x = 5+20

3x = 25

x = 25/3

x = 8.33°

Get m∠2

m∠2 = 8x-20

m∠2 = 8(8.33) - 20

m∠2 = 46.67°

Get m∠3

m∠3 = 5x+5

m∠3 = 5(8.33)+5

m∠3 = 41.65+5

m∠3 = 46.65°

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