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∠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:

Respuesta :

MrRoyal

Answer:

[tex]x = 8[/tex]

[tex]B = 70[/tex]

Step-by-step explanation:

Given

[tex]A = 8x + 6[/tex]

[tex]B = 4x + 38[/tex]

Require

Determine x and <B

Missing in the question: A and B are vertical angles

For vertical angles A and B,

[tex]A = B[/tex]

Substitute values for A and B

[tex]8x + 6 = 4x + 38[/tex]

Collect Like Terms

[tex]8x - 4x = 38 - 6[/tex]

[tex]4x = 32[/tex]

Solve for x

[tex]x = 32/4[/tex]

[tex]x = 8[/tex]

To solve for B, substitute 8 for x in [tex]B = 4x + 38[/tex]

[tex]B = 4 * 8 + 38[/tex]

[tex]B = 32 + 38[/tex]

[tex]B = 70[/tex]

wildwing93

Answer:

B = 126

Step-by-step explanation:

Its correct on Khan

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