Question

∠A=8x+6 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 6, degrees, end color #11accd \qquad \green{\angle B} = \green{4x +38^\circ}∠B=4x+38 ∘ start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 4, x, plus, 38, degrees, end color #28ae7b Solve for xxx and then find the measure of \greenD{\angle B}∠Bstart color #1fab54, angle, B, end color #1fab54:

Answer 1

Answer:

$x = 8$

$B = 70$

Step-by-step explanation:

Given

$A = 8x + 6$

$B = 4x + 38$

Require

Determine x and <B

Missing in the question: A and B are vertical angles

For vertical angles A and B,

$A = B$

Substitute values for A and B

$8x + 6 = 4x + 38$

Collect Like Terms

$8x - 4x = 38 - 6$

$4x = 32$

Solve for x

$x = 32/4$

$x = 8$

To solve for B, substitute 8 for x in $B = 4x + 38$

$B = 4 * 8 + 38$

$B = 32 + 38$

$B = 70$

Answer 2

Answer:

B = 126

Step-by-step explanation:

Its correct on Khan