Respuesta :

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: [tex]63^{\circ}[/tex]

Step-by-step explanation:

Given: [tex]\triangle{XYZ}\sim\triangle{EDF}[/tex]

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

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

Now, according to the property of similar triangles,

[tex]\angle{F}=\angle{Z}=63^{\circ}[/tex]

Therefore if XYZ ∼ EDF, the measure of angle F is [tex]63^{\circ}[/tex].

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