Question

Find the compliment of an angle whose supplement is 115 degrees.

Answer 1

25°

Explanation:

A supplementary angle refers to two angles that measure up to 180° degrees when added together.

Let x = one of the angles

Let y = 115°

`x + y = 180^(\circ)`

`x = 180 - y`

`x = 180 - 115`

x = 65°

To find the complementary angle;

A complementary angle refers to two angles that measure up to 90° degrees when added together.

Let a = one of the angles.

Let b = 65°

`a + b = 90^(\circ)`

`a = 90 - b`

`a = 90 - 65`

a = 25°

Therefore, the complement of an angle whose supplement is 115 degrees is 25 degrees.