1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2 = (5+4 y) and m 3 = (6 y-25). what is m 1

Question

Mathematics

Dante Lam

5 February, 04:20

1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2 = (5+4 y) and m 3 = (6 y-25). what is m 1

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Answers (1)

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Gaige Wiley · Answer 1

Vertical angles are equal to each other:

∠2 = ∠3

5 + 4y = 6y - 25

→ 30 = 2y

→ 15 = y

∠2 = 5 + 4y = 5 + 4 (15) = 5 + 60 = 65

linear pairs equal 180:

∠1 + ∠2 = 180

→ ∠1 + 65 = 180

→ ∠1 = 115