Question

In ABC, what is the measure of angle B?

Answer 1

Answer:

D

Step-by-step explanation:

The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.

In This case A + B = 140

A = x + 2

B = 2x

x +2 + 2x = 140

3x + 2 = 140                     Subtract 2 from both sides

3x = 138                           Divide by 3

x = 138/3

x = 46

<B = 2x

<B = 2*46

<B = 92