Question

what is m∠1? m∠1 = °

Explanation:

Step1: Recall triangle - exterior - angle property

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.

Step2: Identify non - adjacent interior angles

The two non - adjacent interior angles to $\angle1$ are $52^{\circ}$ and $83^{\circ}$.

Step3: Calculate $m\angle1$

$m\angle1=52^{\circ}+83^{\circ}=135^{\circ}$

Answer:

$135$