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Mathematics

The measures of two complementary angles are in the ratio 1 : 5. What is the measure of the smaller angle?

  1. 15°
  2. 20°
  3. 25°
  4. 30°

Lines & Angles

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Answer

Let the angles be x and 5x

The question states that the angles are complementary:

∴ x + 5x = 90°

⇒ 6x = 90°

⇒ x = 906\dfrac{90^\circ}{6}

⇒ x = 15°

Hence, option 1 is the correct option.

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