Question

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

Answer 1

Answer:

x = 12°

Step-by-step explanation:

Since both lines are parallel.

Using alternate angle property!

= > Angle A = Angle B

= > 5 x - 15 = 2 x + 21

= > 5 x - 2 x = 21 + 15

= > 3 x = 36

= > x = 12

Therefore, the value of x is 12°.

Answer 2

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°