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Find the angle which is 4 times its complement?


User Reggert
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1 Answer

14 votes

Answer:

72°

Explanation:

Let us assume the angle be xo Then it’s complement angle is 4x°.

When the sum of two angles is 90°, then the angles are known as complementary angles. If two angles add up to form a

right angle, then these angles are referred to as complementary angles.

4x + x = 90°

5x = 90°

x = 18°

∴ The angle x = 18° and

Its complement 4x = (4×18o) = 72°

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