Question

step wise please
please don't answer anything to get points

Answer 1

Answer:

x = 120°

Step-by-step explanation:

Extending PQ(AB) such that it meets the line RT(CD).

[ in the attachment the points names have been changed]

• ∠ABF is a straight line angle equal to 180°

•°• ∠FBC = 180 - 100

∠FBC = 80°

• In ∆BFC,

exterior angle = sum of interior opposite angle

∠BFD = ∠FBC + ∠FCB

∠BFD = 80 + 40 = 120°

• AB || DE

and since AF is the extended version of AB

AF || DE

∠AFD (∠BFD)= ∠FDE

∠FDE = 120°

and since ∠FDE is equal to x.

x = 120°

_______________

Hope this helps!