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If an angle is 3 times as large as its complement, what is the measure of the an

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Question: If an angle is 3 times as large as its complement, what is the measure of the angle?

Options:

  1. 45°
  2. 60°
  3. 75°
  4. 90°

Correct Answer: 75°

Solution: 

Let the angle be x. Then, x + (90° - x) = 90°; 4x = 90°; x = 75°.

If an angle is 3 times as large as its complement, what is the measure of the an

Practice Questions

Q1
If an angle is 3 times as large as its complement, what is the measure of the angle?
  1. 45°
  2. 60°
  3. 75°
  4. 90°

Questions & Step-by-Step Solutions

If an angle is 3 times as large as its complement, what is the measure of the angle?
  • Complementary Angles – Complementary angles are two angles whose measures add up to 90 degrees.
  • Algebraic Representation – Using algebra to represent relationships between angles and solve for unknowns.
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