Question

find the value of h.

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angle with measure $36^{\circ}$ and the angle with measure $g^{\circ}$ are vertical angles, so $g = 36$.

Step2: Recall linear - pair property

The angles $g^{\circ}$ and $h^{\circ}$ form a linear pair. A linear pair of angles is supplementary, meaning $g+h = 180$.

Step3: Substitute the value of $g$

Since $g = 36$, we substitute $g$ into the equation $g + h=180$. So $36+h = 180$.

Step4: Solve for $h$

Subtract 36 from both sides of the equation: $h=180 - 36$.
$h = 144$

Answer:

$144$