Triangle ABC is similar to triangle DEF. If the measure of angle A is 51°, and the measure of angle B is 81°, what is the measure of angle F?

Question

mathstudent55 · Answer

Similar triangles have congruent corresponding angles.
Do you understand what that means?

anonymous · Answer

yes

mathstudent55 · Answer

Since the triangles are given as similar using the names ABC and DEF, that means the corresponding angles are:
A and D
B and E
C and F

anonymous · Answer

yea im still lost on what the answer would be

mathstudent55 · Answer

You want the measure of angle F.
Angle F corresponds to angle C.
Since you know the measures of angles A and B, you can find the measure of angle C.
Angle F has the same measure as angle C.

mathstudent55 · Answer

Now you turn to triangle ABC.
What do you know about the sum of the measures of the angles of a triangle?

anonymous · Answer

i got it now

mathstudent55 · Answer

What did you get for the measure of angle F?

anonymous · Answer

49

mathstudent55 · Answer

Close. You're off by 1 degree.
180 - 51 - 81 = ?