Question

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

What is m∠A ?

Answer 1

we know that

Vertical Angles 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

the answer is

the measure of angle A is $20\°$

Answer 2

Answer:

The measure angle A is ${20^{\circ}}$.

Step-by-step explanation:

Given Information:

• The measure angle A is  $x$.
• The measure angle B is $5x-80$.

• $\angle A\;and \;\angle B$ are vertically opposite angle.

According to the Vertical Angle Theorem, the two opposite vertical angles are congruent due to the intersection of two lines.

Therefore, equating $\angle A\;and \;\angle B$  we get,

$x&=5x-80\\4x&=80\\x&={20^{\circ}}$

Therefore, the measure angle A is ${20^{\circ}}$.

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https://brainly.com/question/18045519?referrer=searchResults