Question

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

Answer 1

X = 12

<B = 45°

Step-by-step explanation:

From the diagram above:

Alternate exterior angles are equal. Therefore,

`5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ (3x)/(3) = (36)/(3) \\ x = 12`

For the measure of angle B

2x + 21°

2(12) + 21 = 24 + 21 = 45

Measure of angle B = 45°