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)`

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)`.