Question

In Triangle A B C, what is the measure of angle B?

Answer 1

Answer:

It is 92.

Step-by-step explanation:

If 140 degrees is the exterior, then we can find the interior by doing 180-140. We get 40, so that means the "c" interior angle is 40 degrees. Since 3 angles added together is 180 degrees, we can make this equation: (2x)+(x+2)+40=180. The "x+2" and "2x" don't need to be in parenthesis but I wrote it like that so it wouldn't confuse you. Once you solve that, the answer should be x=46. Then multiply by 2 and get 92.

Answer 2

Answer:

92

Step-by-step explanation:

You can use the exterior angle theorem:

3x + 2 + 40 = 180

3x = 138

x = 46

2 * 46 = 92