() 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

  c) 28°, 76°, 76°

Step-by-step 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

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