Question

in the given figure, AB||CD , find the value of x​

Answer 1

Given : AB//CD

To find : Value of x

Construction : Draw a line EF passing through O, parallel to AB & CD

PROOF :

AB//EF,

By interior angles,

50°+ ∠EOB = 180°

∠EOB = 130°

Also,

CD//EF

By interior angles,

30°+ ∠EOD = 180°

∠EOD = 150°

▶x = ∠EOB + ∠EOD = 130°+150° = 280°