Question

a triangle has interior angle measures of c, 42°, and 64°. what is the value of c? c = °

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $c + 42^{\circ}+64^{\circ}=180^{\circ}$.

Step2: Solve for c

$c=180^{\circ}-(42^{\circ} + 64^{\circ})$. First, calculate $42^{\circ}+64^{\circ}=106^{\circ}$. Then, $c = 180^{\circ}-106^{\circ}=74^{\circ}$.

Answer:

$74$