# How many degrees are in the sum of the measures of complementary angles?

May 7, 2018

Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees.

#### Explanation:

May 7, 2018

${90}^{o}$

#### Explanation:

Recall, sum of complementary angles are ${90}^{o}$

Assuming each complementary angles are $x$

Then;

$x + x = {90}^{o}$

$2 x = {90}^{o}$

$x = {45}^{o}$

Therefore one of the complementary angle is ${45}^{o}$

Hence sum of both angles are ${45}^{o} + {45}^{o} = {90}^{o}$

Complementary angles sum can't be more than ${90}^{o}$