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4 August, 07:12

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°

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  1. 4 August, 10:15
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    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°
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