Question

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=3x−60 .

What is m∠A ?

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Answer 1

X = 3x - 60
-3x -3x
____________
-2x = -60
-2x / -2 = -60 / -2

x=30

Answer 2

when two angles are vertical, they are congruent to each other means they are equal to each other. So m∠A = m∠B
and m∠A = x , m∠B = 3x -60
So,
x = 3x -60
Now we solve this equation for x,
3x - x = 60
2x = 60
x = 30
Thus, the m∠A = 30 And m∠B = 3 (30) - 60 = 90 - 60 = 30
As, they are equal so, m∠A and m∠B is 30.