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

AD+BC+CD=180°

Answer 2

What about Part 1 and Part 2?

Answer 3

(angles on a straight line are supplementary),

Answer 4

I know that

Answer 5

*
AFD+BFC+CFD=180°

Answer 6

part 1 is find CFD right?

Answer 7

Yes

Answer 8

and BFC is 90° because it has a square angle thing

Answer 9

Ok..

Answer 10

***
AFB+BFC+CFD=180°

Answer 11

But what is AFB??

Answer 12

and AFB is 43° (given)

Answer 13

in the diagram

Answer 14

CFD how do we find it?

Answer 15

AFB+BFC+CFD=180°
CFD=180°-AFB-BFC
AFB=43°
BFC=90°

Answer 16

So would CFD = 47 degrees?

Answer 17

makes sense right?
43°+90°+47°=180°
yes

Answer 18

Thank you sooo much! :D

Answer 19

for part 2 you can write something about angles on a straight line are supplementary

Answer 20

Ok thanks!