In the given figure, AB || CD. Find the values of x, y and z.


In the given figure, AB || CD. Find the values of xy and z.



$\angle A D C=\angle D A B \quad$ [Alternate Interior Angles]

$\Rightarrow z=75^{\circ}$

$\angle A B C=\angle B C D \quad$ [Alternate Interior Angles]

$\Rightarrow x=35^{\circ}$

We know that the sum of the angles of a triangle is $180^{\circ}$.

$\Rightarrow 35^{\circ}+y+75^{\circ}=180^{\circ}$

$\Rightarrow y=70^{\circ}$

$\therefore x=35^{\circ}, y=70^{\circ}$ and $z=75^{\circ} .$

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now