The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle, supplement, and complement.

Question

asked Jun 7, 2021 5.7k views

1 Answer

Blue Waters · Answer 1 · 2021-06-14T04:21:48+0000

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Explanation:

We know that,

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒ 7x- x = 630° -180°

⇒ 6 x = 450°

⇒ x = 75° [divide both sides by 6]

So, original angle = 75°

Its supplement = 180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence, original angle = 75°

Its supplement 105°

Its complement = 15°