Question

Select the correct answer. Two exterior angles of a triangle measure 135° and 100°. What are the measures of the interior angles of the triangle? A. 45°, 65°, 80° B. 45°, 65°, 70° C. 45°, 55°, 80° D. 55°, 75°, 50° E. 80°, 50°, 50°

Answer 1

Answer:

C

Step-by-step explanation:

interior angle + exterior angle are supplementary

interior angle = 180° - exterior angle

⇒ interior angle = 180° - 135° = 45°

and interior angle = 180° - 100° = 80°

The sum of the 3 angles in a triangle = 180°

To find the third interior angle, subtract the sum of the 2 interior angles from 180

third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°

interior angles are 45°, 55° and 80°