Question

what is $m\angle 1$?

$m\angle 1 = \square^\circ$

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Explanation:

Step1: Identify exterior angle property

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. Let the exterior angle be $79^\circ$, the given interior angle be $42^\circ$, and $\angle 1$ be the unknown angle. So:
$$79^\circ = m\angle 1 + 42^\circ$$

Step2: Solve for $m\angle 1$

Rearrange the equation to isolate $m\angle 1$:
$$m\angle 1 = 79^\circ - 42^\circ$$

Answer:

$37^\circ$