find the measure of angle c.
find the measure of angle c.
Answer
Explanation:
Step1: Recall angle - sum property
The sum of angles in a triangle is 180°. Let $\angle A = 47^{\circ}$, $\angle B=58^{\circ}$, and $\angle C$ be the unknown angle. So, $\angle A+\angle B+\angle C = 180^{\circ}$.
Step2: Solve for $\angle C$
We can rewrite the equation as $\angle C=180^{\circ}-\angle A - \angle B$. Substitute $\angle A = 47^{\circ}$ and $\angle B = 58^{\circ}$ into the equation: $\angle C=180^{\circ}-47^{\circ}-58^{\circ}$. First, $180^{\circ}-47^{\circ}=133^{\circ}$. Then, $133^{\circ}-58^{\circ}=75^{\circ}$.
Answer:
$75^{\circ}$