Lines and Angles · Class 9 · CBSE Mathematics

An angle is equal to five times its complement. What is the measure of this angle?

Practice question from Lines and Angles (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-823266

An angle is equal to five times its complement. What is the measure of this angle?

  1. A.75°Correct answer
  2. B.15°
  3. C.60°
  4. D.80°

Solution

Let the measure of the angle be xx. Its complement will be 90∘−x90^\circ - x. According to the given condition, x=5(90∘−x)x = 5(90^\circ - x). Expanding this gives x=450∘−5xx = 450^\circ - 5x, which leads to 6x=450∘6x = 450^\circ, and x=75∘x = 75^\circ.

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