Question

qrstu ~ bcdea. what are ( mangle c ) and ( mangle u )? ( mangle c = square^circ ) ( mangle u = square^circ )

Explanation:

Step1: Recall similar polygons property

Corresponding angles of similar polygons are congruent (equal in measure).

Step2: Match corresponding angles

For $QRSTU \sim BCDEA$:

• $\angle R$ corresponds to $\angle C$, so $m\angle C = m\angle R = 83^\circ$
• $\angle U$ corresponds to $\angle B$, so $m\angle U = m\angle B = 95^\circ$

Answer:

$m\angle C = 83^\circ$, $m\angle U = 95^\circ$