Question

If XYZ ~ EDF, the measure of angle F is _____ a0°.

Answer 1

Answer:

63° (same as Z)

Step-by-step explanation:

The question indicates that ΔXYZ is similar to ΔEDF.

By definition, when we indicate that triangle XYZ is similar to the triangle EDF, the order of the letters is important and match the congruent angles.

So, ∠X = ∠E, ∠Y = ∠D and ∠Z = ∠F

It's hard to see because the angles are quite similar in opening (56°, 63° and 61°), and the drawing doesn't seems to be to scale.

But according to the naming convention: ∠Z = ∠F

Since ∠Z = 63°, ∠F = 63°

Answer 2

Answer:

So the answer is 63 degrees

Step-by-step explanation:

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.