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stiks02 [169]
3 years ago
10

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

Mathematics
2 answers:
nikitadnepr [17]3 years ago
5 0
Angle A's measure is 20.
yan [13]3 years ago
3 0

we know that

<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always congruent to one another

in this problem

∠A and ​ ∠B ​ are vertical angles

so

∠A=∠B ​

we have

∠A=x\° 

∠B=(5x-80)\°

equate angle A and angle B

x=5x-80

solve for x

5x-x=80

4x=80

x=20\°

therefore

<u>the answer is</u>

the measure of angle A is 20\°

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