Question

The angle measurements in the diagram are represented by the following expressions. \qquad \blueD{\angle A=7x + 24^\circ}∠A=7x+24 ∘ start color #11accd, angle, A, equals, 7, x, plus, 24, degrees, end color #11accd \qquad \greenD{\angle B=3x + 92^\circ}∠B=3x+92 ∘ start color #1fab54, angle, B, equals, 3, x, plus, 92, degrees, end color #1fab54 Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd: \blueD{\angle A} =∠A=start color #11accd, angle, A, end color #11accd, equals ^\circ ∘

Answer 1

Answer:

150

Step-by-step explanation:

∠A and∠B are alternate interior angles. Therefore, we can set their measures equal to one another.

8x-10=3x + 90

Solve for x:

(8x -10) - 3x=( 3x + 90)- 3x

5x -10= 90

(5x -10)+10= 90+10

5x = 100

5x/5 = 100/5

x=20

∠B=3x+90

∠B=3(20)+90

∠B=150

So the first answer is wrong and I am 11 btw

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