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Two complementary angles are in the ratio 5 to 7 find the angles

1 Answer

3 votes

Answer:

37.5°, 52.5°

Explanation:

Let the two angles be 5x and 7x

Total ratio= 5+7 =12

5x = (5/12) ×90° ( sum of complementary angles = 90°)

= (5/2)×15°

75/2= 37.5°

Similarly

7x = (7/2)×15°

=105/2= 52.5°

Verification

37.5°+52.5°=90° (sum of complementary angles= 90°)

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