Question

what are the values of b and c?
(image of an isosceles triangle wuv with sides uv and wv marked as equal, angle at u is 37 degrees, angle at v is b, angle at w is c)
$b = \square^\circ$
$c = \square^\circ$

Explanation:

Step1: Identify equal sides, base angles

In $\triangle UVW$, $\overline{UW} = \overline{WV}$ (marked congruent), so $\angle U = \angle V$.
$\angle U = 37^\circ$, so $b = \angle V = 37^\circ$

Step2: Sum angles to find $\angle W$

Triangle angle sum is $180^\circ$.
$\angle U + \angle V + \angle W = 180^\circ$
$\angle W = 180^\circ - 37^\circ - 37^\circ$

Answer:

$b = 37^\circ$
$c = 106^\circ$