Question

in the given figure, l parallel to m. find the values of x, y, and z.

Answer 1

$\huge\color{Blue}{Hey\: Mate}$

here is your answer:

Given: L ll M
and transversed by PQ and PR.

Therefore, Angle X= Angle PQR=50° (Alternate interior angles)
Angle Z= Angle PRQ=45° ( Alternate interior angles)

Angle X+Y+Z= 180° (Linear Pair)
50°+45°+y= 180°
95°+y= 180°
y= 180-95
y=85°

Therefore,
X=50°
Y=85°
Z=45°

hope it helps you!!

$\huge\boxed{Thankyou!!}$

Answer 2

Here is your answer

hope it help you