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