Question

PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:

Answer 1

19°

That's your answer

Explanation:

So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.

Now we are given 2 angles.

Angle A and Angle B

Angle A= (3x+13) degrees

Angle B=(5x+9) degrees

Knowing that and that they measure the same just put them equal to each other……

3x+13=5x+9

Given the equation just solve…..

Lets subtract 9 from 13

Then Subtract 3x

Then Divide by 4

3x+13=5x+9

3x+4=5x

4=2x

x=4/2 =2

x= 2

We now Know X is equal to ½ but we still need to figure out the measure of angle A

Angle A= 3x+13

So just plug in

3(2) +13= 19° :)

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Answer 2

m∠A = 19°

vertical angles are of same measure.

⇒ so given m∠A = m∠B

Find x

• 3(x) + 13 = 5(x) + 9

• 3(x) - 5(x) = 9 - 13

• -2(x) = -4

• x = 2

Then find m∠A

• 3(x) + 13°

• 3(2) + 13°

• 6° + 13°

• 19°