Question

Please only answer if you're confident.

Answer 1

∠ B = 70°

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°

Answer 2

Answer: ∠B=70°

Explanation:

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

• Vertical angle theorem: opposite angles are congruent.

Solve:

∠A=∠B

8x+6=4x+38

4x=32

x=8

∠B=4x+38=4(8)+38=32+38=70°