Question

The angle measurements in the diagram are represented by the following expressions.

MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:

Answer 1

x = 12

m(∠B) = 45°

Explanation:

Given question is incomplete; find the complete question in the attachment.

In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.

Angles A and B are the "Alternate exterior angles" which will equal in measure.

m(∠A) = m(∠B)

(5x - 15) = (2x + 21)

5x - 2x = 15 + 21

3x = 36

x = 12

Since, m(∠B) = (2x + 21)

= (2×12) + 21

= 24 + 21

= 45°

Therefore, x = 12 and measure of angle B will be 45°.