Question

find the measure of the missing angles.
(there is a diagram with intersecting lines, one angle is 80° and angles labeled b, c)

Explanation:

Step1: Find angle b (supplementary to 80°)

Angles on a straight line sum to 180°.
$b = 180^\circ - 80^\circ = 100^\circ$

Step2: Find angle c (vertical to 80°)

Vertical angles are congruent.
$c = 80^\circ$

Answer:

$b = 100^\circ$, $c = 80^\circ$