Question

find the measure of the missing angles.
answer attempt 1 out of 2
d = \\(\square^\circ\\) e = \\(\square^\circ\\) f = \\(\square^\circ\\)

Explanation:

Step1: Find angle $d$ (supplementary to $122^\circ$)

Angles on a straight line sum to $180^\circ$.
$d = 180^\circ - 122^\circ - 24^\circ$
$d = 34^\circ$

Step2: Find angle $e$ (vertical to $d+24^\circ$)

Vertical angles are equal.
$e = d + 24^\circ = 34^\circ + 24^\circ$
$e = 58^\circ$

Step3: Find angle $f$ (vertical to $122^\circ$)

Vertical angles are equal.
$f = 180^\circ - e - d$
$f = 122^\circ - 24^\circ - 34^\circ$
$f = 64^\circ$

Answer:

$d = 34^\circ$, $e = 58^\circ$, $f = 64^\circ$