Question

If the complement of an angle is one third of its supplement. Find the angle?

Answer 1

Hey! ! !

Solution :-

☆ Let the angle be x

●complement of x is (90 − x)°

●supplement of x is (180 − x)°

☆Given (90 − x)° = (1/3) × (180 − x)°

⇒ 270° − 3x = 180°− x

⇒ 270° − 180° = 3x − x

⇒ 2x = 90°

∴ x = 45°

☆ ☆ ☆ Hop its helpful ☆ ☆ ☆

☆ Regards :- ♡♡《 Nitish kr singh 》♡♡

Answer 2

If angles add up to 90 degrees = > Complementary.

If angles add up to 180 degrees = > Supplementary.


= > Let us consider one angle as x.

Then the other angle will be 90 - x.

Given that an angle is one-third of its supplement.

= > (90 - x) = (1/3) * (180 - x)

= > 90 - x = (180 - x)/3

= > 3(90 - x) = (180 - x)

= > 270 - 3x = 180 - x

= > 270 - 180 = 2x

= > 90 = 2x

= > x = 45


Therefore the angle is 45 degrees.


Hope this helps!