Question

If XYZ ∼ EDF, the measure of angle F is_____ a0°.

Answer 1

From the statement of similarity, you see that angle Z corresponds to angle Z.
Similar triangles have congruent corresponding angles.
Since angle Z measures 63 deg, then angle F also measures 63 deg.

Answer 2

Answer: $63^{\circ}$

Step-by-step explanation:

Given: $\triangle{XYZ}\sim\triangle{EDF}$

The properties of similar triangles says that all the corresponding angles of similar triangles are equal or congruent.

Now, the corresponding angle of $\angle{F}$ is $\angle{Z}$  [last letter in name of both triangles]

Now, according to the property of similar triangles,

$\angle{F}=\angle{Z}=63^{\circ}$

Therefore if XYZ ∼ EDF, the measure of angle F is $63^{\circ}$.