Question

∠A=8x+74

∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 74, degrees, end color #11accd \qquad \green{\angle B} = \green{2x +56^\circ}∠B=2x+56
∘

Answer 1

∠B = 66 degrees

Explanation:

Look at attachment:

Hope this helps! :)

Answer 2

x = 5

m<B = 66°

Explanation:

Given:

<A = 8x + 74°

<B = 2x + 56°

Required:

✔️Solve for x

✔️Find m<B

Solution:

✔️m<A + m<B = 180° (same interior angles are supplementary)

8x + 74 + 2x + 56 = 180 (substitution)

Add like terms

10x + 130 = 180

Subtract 130 from each side

10x + 130 - 130 = 180 - 130

10x = 50

Divide both side by 10

10x/10 = 50/10

x = 5

✔️m<B = 2x + 56°

Plug in the value of x

m<B = 2(5) + 56 = 10 + 56

m<B = 66°