Question

A=5x-12. B=2x+24. Solve for x and then find the measure of angle measure B

Answer 1

Answer:

x = 12°

<B = 48°

Step-by-step explanation:

As alternate angles are equal,

< A = < B

Given that,

< A = 5x - 12

<B = 2x + 24

So,

5x - 12 = 2x + 24

Now solve for x.

5x - 2x - 12 = 24

3x - 12 = 24

3x = 24 + 12

3x = 36

Divide both sides by 3.

x = 12°

                                                                               

Now let us find the measure of angle B.

< B = 2x + 24

< B = 2 × 12 + 24

< B = 24 + 24

<B = 48°