Q. 23.7( 3 Votes )

# If the supplement

Let the angle be x.

We know that supplement of an angle is given by,

Supplement angle = 180 – x

Complement angle = 90 – x

According to the question, we have that supplementary angle is four times of its complementary angle. So, we get

Supplementary angle = 4 (complementary angle)

180 – x = 4 (90 – x)

180 – x = 360 – 4x

4x – x = 360 – 180

3x = 180

x = 60

Also, supplementary angle = (180° - x)

Supplementary angle = 180° - 60°

Supplementary angle = 120°

Complementary angle = 90° - 60°

Complementary angle = 30°

Thus, the angle is 60°.

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