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In a triangle, one interior angle is twice another and the two angles are complementary. Find the measures of the two angles.

hard 2 marks Class 5 · Mathematics · Shapes and Angles
Answer
30° and 60°

The correct answer is 30° and 60° — The larger angle is degrees.

Step-by-step solution

  1. Let the smaller angle be degrees and the larger be degrees.
  2. Since the angles are complementary, degrees.
  3. Solve the equation: giving degrees.
  4. The larger angle is degrees.
Common mistake: Forgetting that complementary angles sum to 90 degrees or misapplying the ratio

Concept tested: Complementary angles in a triangle

Published · How this solution was prepared and checked

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