Question

similar figures quiz
given △stu and △def. what is m∠u?
s
15
t
20
20°
10
180°
20
105°
46°
e
4
46°
6
8
d

Explanation:

Step1: Recall property of similar triangles

Corresponding angles of similar triangles are equal.

Step2: Identify corresponding angles

In similar $\triangle STU$ and $\triangle DEF$, $\angle U$ corresponds to $\angle F$.

Step3: Determine angle measure

Since $\angle F = 46^{\circ}$, then $m\angle U=46^{\circ}$.

Answer:

$46^{\circ}$