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

Question

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

Explanation:

Step1: Find adjacent interior angle

The 138° angle is an exterior angle, so its adjacent interior angle is $180^\circ - 138^\circ = 42^\circ$.

Step2: Calculate $\boldsymbol{m\angle1}$

Use triangle angle sum ($180^\circ$). Subtract the two known interior angles.
$m\angle1 = 180^\circ - 99^\circ - 42^\circ$

Answer:

$41^\circ$