Question

find the measure of the missing angles.
answer attempt 1 out of 2
g = \\(\square^\circ\\) h = \\(\square^\circ\\)
k = \\(\square^\circ\\) m = \\(\square^\circ\\)

Explanation:

Step1: Find $g$ (vertical angles)

Vertical angles are equal, so $g = 112^\circ$

Step2: Find $h$ (supplementary to $112^\circ$)

Supplementary angles sum to $180^\circ$, so $h = 180^\circ - 112^\circ = 68^\circ$

Step3: Find $m$ (supplementary to $82^\circ$)

Supplementary angles sum to $180^\circ$, so $m = 180^\circ - 82^\circ = 98^\circ$

Step4: Find $k$ (vertical angles with $82^\circ$)

Vertical angles are equal, so $k = 82^\circ$

Answer:

$g = 112^\circ$
$h = 68^\circ$
$k = 82^\circ$
$m = 98^\circ$