Question

pls solve this question as quickly as possible

Answer 1

Hey, I can see you have already done the construction!
Hehe.
So the angle below the construction = 180-118 = 62°
angle above the construction = 180-108 = 72°


So total angle x = 72+62 = 134°

Answer 2

Given : AB parallel to CD
Angle A = 108
Angle C = 118
TO FIND:x
CONSTRUCTION : Draw a line LM parallel to AB ( from angle x)
Proof : AB is parallel to LM
And AL is transversal
.: Angle A + angle L = 180 ( cointerior)
Angle L = 180-108= 72
Similarly LM is parallel to AB is parallel toCD
.: LM is parallel to CD
And LC is transversal
.: angle L + Angle C = 180 (cointerior)
angle L = 180-118=62
Now,
x = Angle L +angle L
x= 72+62 = 134


Hope it helps