Question

707
B
5. In the given figure, AB || CD and CD || EF. Find the values of x and y.
E
28°
D​

Answer 1

Answer:

x=150°

Step-by-step explanation:

Correct option is

D

105

∘

Extend the line EF to H so that HG∣∣AC

Now HG∣∣AC and BC is transversal

∠BGH=∠BCA (Corresponding angles)

∠BGH=65

∘

Now exterior angle of triangle is equal to sum of interior opposite angles

Applying the same in △BGH

∠HBG+∠BGH=∠GHA

40

∘

+65

∘

=y

y=105

∘

Now AB||FCFandHE$$ is transversal

∴x=y (corresponding angles)

x=105

∘