Question

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

Answer 1

Answer:

25°

Step-by-step 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.