Question

PLEASE HELP! solve for x and then find measure for angle b

Answer 1

The answer to this problem is x=12

Answer 2

Answers:

x = 12

Angle B = 45 degrees

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Explanation:

Angles A and B are alternate exterior angles.

Due to the parallel lines, alternate exterior angles are congruent

A = B

5x-15 = 2x+21

5x-2x = 21+15

3x = 36

x = 36/3

x = 12

Use this x value to find the measure of angle B

angle B = 2x+21

angle B = 2*12+21

angle B = 24+21

angle B = 45 degrees

As a check,

angle A = 5x-15

angle A = 5*12+15

angle A = 60-15

angle A = 45 degrees

Since A and B are both 45 degrees, this confirms the correct x value