Question

An angle is 5 times its compliment.Find its measures

Answer 1

Step-by-step explanation:

Let one angle be x.

Then the complement of it = 90-x.

Given that An angle is equal to 5 times its complement.

x = 5(90 - x)

x = 450 - 5x

6x = 450

x = 450/6

x = 75.

Hence the measure of an angle = 75. The other will be 90 - x = 90 - 75 = 15.

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Answer 2

first angle = x

second angle = 5x

sum of complimentary angles = 90°

first angle + second angle = 90°

x° + 5x° = 90°

6x° = 90°

x = 90/6 = 15°

first angle = x° = 15°

second angle = 5x° = 5 × 15 = 75°