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3 years ago

Please only answer if you're confident.

Mathematics

2 answers:

Elis [28]3 years ago

8 0

Answer:

∠ B = 70°

Step-by-step explanation:

A and B are alternate exterior angles and congruent, that is

∠ A = ∠ B , substitute values

8x + 6 = 4x + 38 ( subtract 4x from both sides )

4x + 6 = 38 ( subtract 6 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Thus

∠ B = 4x + 38 = 4(8) + 38 = 32 + 38 = 70°

lina2011 [118]3 years ago

4 0

Answer: ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

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