Two complementary angles are in the ratio 13:5. The smallest of the two angles is what?
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Ratio of two complementary angles = 13:5
Let the common multiple be x
Therefore,
1st angle = 13 × x = 13x
2nd angle = 5 × x = 5x
ATP,
1st angle + 2nd angle = 90⁰ [Sum of two complementary angles is always 90⁰]
= 13x + 5x = 90⁰
=> 18x = 90⁰
=> x = 90/18
=> x = 5⁰
Therefore,
1st angle = 13x = 13 × 5 = 65⁰
2nd angle = 5x = 5 × 5 = 25⁰
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