Question

HELP I GIVE BRAINYEST The angle measurements in the diagram are represented by the following expressions.

\qquad \blueD{\angle A=8x -10^\circ}∠A=8x−10
∘
start color #11accd, angle, A, equals, 8, x, minus, 10, degrees, end color #11accd \qquad \green{\angle B=3x + 90^\circ}∠B=3x+90
∘
start color #28ae7b, angle, B, equals, 3, x, plus, 90, degrees, end color #28ae7b

Answer 1

Answer: the right answer on khan academy is 150° (with PROOF)

Answer 2

B = 150

Explanation:

Since angles A and B are opposite interior angles, they are congruent.

8x - 10 = 3x + 90

8x - 3x = 90 + 10

5x = 100

x = 20

Now that we have the value of x, we have to solve for angle B.

B = 3x + 90

B = 3*20 + 90

B = 60 + 90

B = 150