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28 votes
28 votes
∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then find the value of x

User Parker Kemp
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1 Answer

23 votes
23 votes

9514 1404 393

Answer:

x = 7

Explanation:

Vertical angles have the same measure, so ...

m∠A = m∠B

(5x -9)° = (8x -30)°

21 = 3x . . . . . . . . . divide by °, add 30-5x

7 = x . . . . . . . . . . divide by 3

User Piet Van Dongen
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2.5k points