Question

1. find the measure of the missing angles.

$b=\\_\\_\\_\\_^\circ$
$c=\\_\\_\\_\\_^\circ$
(note: there is a diagram with intersecting lines, one angle marked as $106^\circ$, and angles $b$ and $c$ to be found; another partial diagram with intersecting lines and an angle marked $106^\circ$ above it)

Explanation:

Step1: Find angle c (supplementary to 106°)

Angles on a straight line sum to $180^\circ$.
$c = 180^\circ - 106^\circ = 74^\circ$

Step2: Find angle b (equal to 106°)

Vertical opposite angles are congruent.
$b = 106^\circ$

Answer:

$b = 106^\circ$, $c = 74^\circ$