Question

Hello everybody!

Can you please help me! I don`t understand how to do this, and please explain this to me, I would really benefit form this. Help would be really appreciated. Thank you very much.

Answer 1

e = 83°, f = 121°, g = 121° and h = 90°

Explanation:

See the attached diagram.

Since, GF ║ AB, and GB is the transverse line so, e = 83° {Alternate angles}

Now, e + f + 156° = 360°

⇒ 83° + f + 156° = 360°

⇒ f = 121°

Now, AB ║ CB and BC is the transverse line, so, f = g {Alternate angles}

⇒ g = 121°

Now, DF is perpendicular to CD and GF ║ CD, hence, DF is perpendicular to GF.

Hence, angle h = 90°.

Therefore, e = 83°, f = 121°, g = 121° and h = 90° (Answer)