Question

Find the angle whose supplement is 10 more than three times of its compliment

Answer 1

Answer :-

50°

Given :-

The angle whose supplement is 10 more than its complement .

To find :-

The measure of the angle .

Solution:-

Let the angle be x .

Then it's supplement is = ( 180 - x)°

It's complement is = ( 90 - x)°

A/Q

→$(180-x) = 3 ( 90-x) + 10$

→$180 -x = 270 -3x + 10$

→$180 -x = 280 -3x$

→$-x + 3x = 280 - 180$

→$2x = 100$

→$x = \dfrac{100}{2}$

→$x = 50^{\circ}$

hence,

The measure of angle is 50°.