# What is the supplementary angle to theta= 35.6 degrees?

May 9, 2018

${144.4}^{\circ}$

#### Explanation:

• " supplementary angles sum to "180^@

$\Rightarrow \text{supplement of } {35.6}^{\circ} = {\left(180 - 35.6\right)}^{\circ} = {144.4}^{\circ}$

May 9, 2018

$144.4$ degrees.

#### Explanation:

Supplementary angles combine to make $180$ degrees. If one angle measures $35.6$ degrees, the other must combine to make $180$ degrees. We can set up an equation to solve for this:

$35.6 + x = 180$

Subtract $35.6$ from both sides:

$x = \textcolor{red}{144.4}$

May 9, 2018

144.4°

#### Explanation:

Supplementary angles add up to 180°.

Let the supplementary angle of theta=35.6° be $x$.

Therefore,
x+theta=180°
x+35.6°=180°
x=180°-35.6°=144.4°