Question

bcde ~ vstu. what are ( mangle b ), ( mangle s ), and ( mangle t )?

Explanation:

Step1: Use parallelogram angle property

In parallelogram $BCDE$, $\angle B = \angle D$.
$m\angle B = 129^\circ$

Step2: Use similar figure angle congruence

Similar figures have congruent corresponding angles: $\angle S = \angle C$.
$m\angle S = 51^\circ$

Step3: Use parallelogram angle property

In parallelogram $VSTU$, $\angle T = \angle V$.
$m\angle T = 129^\circ$

Answer:

$m\angle B = 129^\circ$
$m\angle S = 51^\circ$
$m\angle T = 129^\circ$