Question

what is $m\angle 1$?
$m\angle 1=\square{}^{circ }$

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Calculate \(m\angle1\)

Given the two non - adjacent interior angles \(49^{\circ}\) and \(69^{\circ}\), we find \(m\angle1\) by adding them. So, \(m\angle1=49^{\circ}+69^{\circ}\)

$$m\angle1 = 118^{\circ}$$

Answer:

\(118\)