Question

if ∠g is supplementary to ∠h and the measure of ∠g is 65, what is the measure of ∠h?
25°
35°
115°
125°

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°. Let $\angle G$ and $\angle H$ be supplementary angles. So, $\angle G+\angle H = 180^{\circ}$.

Step2: Substitute the measure of $\angle G$

Given that $\angle G = 65^{\circ}$, we substitute it into the equation: $65^{\circ}+\angle H=180^{\circ}$.

Step3: Solve for $\angle H$

$\angle H=180^{\circ}- 65^{\circ}=115^{\circ}$.

Answer:

C. 115°