Question

find the measure of angle c.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $\angle A+\angle B+\angle C = 180^{\circ}$.

Step2: Substitute known angles

We know that $\angle A = 49^{\circ}$ and $\angle B=73^{\circ}$. Substituting these values into the equation: $49^{\circ}+73^{\circ}+\angle C=180^{\circ}$.

Step3: Solve for $\angle C$

First, add the known angles: $49^{\circ}+73^{\circ}=122^{\circ}$. Then, we have $122^{\circ}+\angle C = 180^{\circ}$. Subtracting 122° from both sides gives $\angle C=180^{\circ}- 122^{\circ}$.
$\angle C = 58^{\circ}$

Answer:

$58^{\circ}$