Question

\angle x∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 156^\circ156 ∘ 156, degrees. What is the measure of \angle x∠xangle, x?

Answer 1

The measure of x is  $\angle x=24^{\circ}$

Explanation:

It is given that $\angle x$ and $\angle y$ are supplementary angles.

The two angles are said to be supplementary if their angles add up to 180°

Thus, we have,

$\angle x+\angle y=180^{\circ}$

Also, it is given that $\angle y=156^{\circ}$

Substituting the value in the expression $\angle x+\angle y=180^{\circ}$, we have,

$\angle x+ 156^{\circ} =180^{\circ}$

Subtracting both sides by $156^{\circ}$, we get,

$\angle x+ 156^{\circ} -156^{\circ}=180^{\circ}-156^{\circ}$

                 $\angle x=24^{\circ}$

Thus, the measure of x is $\angle x=24^{\circ}$