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

I WILL GIVE BRAINLIEST!!!

Triangle A B C. Angle A is (x + 2) degrees, angle B is (2 x) degrees, and the exterior angle to angle C is 140 degrees.
46 degrees
48 degrees
70 degrees
92 degrees

In Triangle A B C what is the measure of angle B I WILL GIVE BRAINLIEST Triangle A B C Angle A is x 2 degrees angle B is 2 x degrees and the exterior angle to a class=

Respuesta :

Answer:

92

Step-by-step explanation:

You can use the exterior angle theorem:

3x + 2 + 40 = 180

3x = 138

x = 46

2 * 46 = 92

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.