Question

Part 1: [4 points] Find the measure of angle CFD.

Part 2: [6 points] Explain how you found the measure including the angle relationships. (complementary, supplementary, vertical, etc.)

Answer 1

here's a hint: cfd is complementary to dfe. dfe is a vertical angle to afb which is 51 degrees

Answer 2

Angle AFB = Angle EFD = 51

Answer 3

yeah, vertical angles are congruent and complementary angles sum to 90 degrees

Answer 4

so if cfd is complementary to efd which is 51 degrees...

Answer 5

\(Angle(BFC) + Angle(CFD) + Angle (DEF) = 180\) Supplementary

\(90 + Angle (CFD) + 51 = 180\)

Find Angle(CFD) now..

Answer 6

or you can use:

Angle(CFD) + 51 = 90 Complementary...

Subtract 51 both the sides you will get the angle you require..

Answer 7

whats the measure of angle CFD

Answer 8

90?

Answer 9

NO

Answer 10

CFD + 51= 90. so 90-51 is CFD

Answer 11

as in @waterineyes post above

Answer 12

Subtract 90 - 51 = ???

Answer 13

39

Answer 14

Yes..

Answer 15

Well Done..

Answer 16

now how would i word it as explaining it

Answer 17

Angle(AFB) is equal to Angle (EFD) by using vertical Angle property..

So therefore, Angle(EFD) = 51

Now, Angle(CFD) + Angle(DFE) are complementary angles so their sum must be 90..

So, Angle(CFD) + 51 = 90


By solving we will get Angle(CFD) = 39