Question

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

Step1: Recall 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: Apply the theorem

In the given triangle, \(m\angle1\) is an exterior angle. The two non - adjacent interior angles are \(111^{\circ}\) and \(31^{\circ}\). So, \(m\angle1=111^{\circ}+31^{\circ}\).

Step3: Calculate the sum

\(111 + 31=142\).

Answer:

\(142\)