Answer :

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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