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Two supplementary angles are in the ratio 5:4. What is the measure of the larger angle?

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Question

Two supplementary angles are in the ratio 5:4. What is the measure of the larger angle?

Options

  • 80°

  • 90°

  • 20°

  • 100°

MCQ
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Solution

100°

Explanation:

Total parts = 5 + 4 = 9.

The larger angle is `5/9` of 180°.

`5/9` × 180°.

= 5 × 20°

= 100°.

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