Question

△uvw ~ △cdb. what is m∠w?

m∠w = \square°

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identify similar figures
solve proportions (84)

Explanation:

Step1: Find $\angle D$ in $\triangle CDB$

Sum of angles in a triangle is $180^\circ$.
$m\angle D = 180^\circ - 36^\circ - 59^\circ = 85^\circ$

Step2: Match corresponding angles

Similar triangles have congruent corresponding angles. $\angle W$ corresponds to $\angle B$.
$m\angle W = m\angle B$

Answer:

$59^\circ$