Question

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

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

Answer 1

The exterior angle at C equals A + B, so (x + 2) + 2x = 140 → 3x + 2 = 140 → x = 46. Thus angle B = 2x = 92°.