​ In the given figure AB//CD. Find the values of x and y. ​

Question

In the given figure \(\overline{AB}||\overline{CD}\). Find the values of x and y.

Answer 1

Given that AB // CD. 

From the figure x° + 60° + x° = 180° 

( ∵ The angles at a point on the line) 

2x = 180° – 60° ⇒ x = 120°/2 = 60°

We know x° + x° + 2y° = 180°

[∵ interior angles on the same side of transversal] 

2x°+ 2y° = 180° 

2y° = 180° – 2x° 

2y° = 180° – 2 (60°) = 60° 

y = 30°