Question

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: Calculate angle $h$

Angles on a straight line sum to $180^\circ$.
$h + 83^\circ = 180^\circ$
$h = 180^\circ - 83^\circ = 97^\circ$

Step2: Calculate angle $g$

Vertical angles are equal.
$g = 83^\circ$

Step3: Calculate angle $m$

Angles on a straight line sum to $180^\circ$.
$m + 56^\circ = 180^\circ$
$m = 180^\circ - 56^\circ = 124^\circ$

Step4: Calculate angle $k$

Vertical angles are equal.
$k = 56^\circ$

Answer:

$g = 83^\circ$
$h = 97^\circ$
$k = 56^\circ$
$m = 124^\circ$