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4 years ago

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?

Mathematics

1 answer:

kow [346]4 years ago

7 0

Answer:

m∠A=30°

Step-by-step explanation:

we know that

<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross.

Vertical angles always are congruent

In this problem

m∠A=m∠B ----> by vertical angles

we have

m∠A=x

m∠B=3x-60

substitute

$3x-60=x$

Solve for x

$3x-x=60$

$2x=60$

$x=30$

therefore

m∠A=30°

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

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?