Question

f) Find the size of an angle which is four times its complement.
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Answer 1

Answer:

Step-by-step explanation:

Let x = the angle

The complement is ( 90 - x )

The angle is 4 times its complement.

x = 4( 90 - x )

x = 360 - 4x

add 4x to each side

5x = 360

divide each side by 5

x = 72

The complement, ( 90 - x ) = 90 - 72 = 18

The angle is 72 and its complement is 18 .

Answer 2

Complementary angle=90°

Let anglr be x

According to question,

4x=90°

x=90°/4

x=22.5

Hence, the angle=22.5°

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