Question

Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .

What is x?

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Answer 1

x = 2

Explanation:

Vertical angles are equal to each other. It means that,

∠A = ∠B

So,

20x+10 = 30x−10

Taking like terms together, we get :

20x-30x=-10-10

-10x=-20

x=2

So, the value of x is 2.