Question

Please help me out!! (the question and answer choices are all in the image). Please include all work!! <3

Answer 1

C 90-degrees

Explanation:

Using alternate interior angles, you can say m<CGD = 50 degrees.

From here, using the fact that line BE is a bisector of line CF, we know that the sum of degrees of the line BE would be 180 degrees.

So we can say m<EGD + m<CGD + m<BGC = 180. Plug in our known values.

90 + 50 + m<BGC = 180

m<BGC = 40

And we can see that m<BGD = m<BGC + m<CGD

Thus, m<BGD = 40 + 50 = 90.

So the m<BGD = 90 degrees.

Cheers.

Answer 2

bgd=cgd+cgb

agf=cgd

50=cgd

cgd=50

bgd=90

so cgd=50

bgc=40

bgd=90