Question

(HELP ASAP!!) An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

a) 90, 45,45

b)152, 14, 14

c)28,76,76

d) 62,59,59

Answer 1

c) 28°, 76°, 76°

Explanation:

The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.

The interior angles are 28°, 76°, 76°. . . . . matches choice C