Question

question 38 | module 7 practice test
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in the figure, $m\angle4 = 74^\circ$ and $m\angle3 = 43^\circ$. find $m\angle1$ and $m\angle2$.
$m\angle1 = \square^\circ$
$m\angle2 = \square^\circ$

Explanation:

Step1: Find $m\angle2$ (supplementary to $\angle4$)

$\angle2 + \angle4 = 180^\circ$
$m\angle2 = 180^\circ - 74^\circ = 106^\circ$

Step2: Find $m\angle1$ (triangle angle sum)

$\angle1 + \angle2 + \angle3 = 180^\circ$
$m\angle1 = 180^\circ - 106^\circ - 43^\circ = 31^\circ$

Answer:

$m\angle1 = 31^\circ$
$m\angle2 = 106^\circ$