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∠A and ​∠B​ are vertical angles with m∠A=x and m∠B=5x−80. What is m∠A?

∠A and ​∠B​ are vertical angles with m∠A=x and m∠B=5x−80. What is m∠A?
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3 votes
∠A and ​∠B​ are vertical angles with m∠A=x and m∠B=5x−80.

What is m∠A?

User Daylily
by
7.6k points

1 Answer

4 votes
Vertical angles are equivalent.

Therefore A=B, which means x = 5x-80.

Solve for x:

x+80=5x
80=4x
20=x

Since A = x, and x=20. A = 20

The measure of angle A is 20 degrees.
User Andrei Sfat
by
9.1k points
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