Question

An angle is equal to four times its comple-
ment. Determine its measure.

​

Answer 1

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Let the angle =x

According to the condition...

4x+x=90

5x=90

X=90/5

X=18

Hope it helps...

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Answer 2

Answer:

18° and 72°.

Step-by-step explanation:

Complement in Geometry basically refers to pairs of angles that have summation equal to 90° or  π÷2c .

By that logic, if you consider the two angles to be as follows.

Smaller angle = x

Larger angle = 4x.

Now,

x + 4x = 90°

Therefore,

x = 18°

Accordingly the angles are 18° and 72°.

Thanks.