Question

convert the following figure find x,y,z if ab ll cd​

Answer 1

Use interior angles on the same side ( on same side of the transversal angles add up to 180 ). You can find x and z . Then finally y by linear pair .

Answer 2

Step-by-step explanation:

AB||CD

(1) Angle CQP +Angle APQ =180 (CO. Interior angles)

120 + Angle APQ = 180

Angle APQ = 180 - 120

Angle APQ= 60

x= 60

(2) Angle DRP + Angle BPR = 180

115 + Angle BPR = 180

Angle BPR = 180 - 115

Angle BPR = 65

y= 65

(3) APB is a straight line

angle X + angle Y + angle QPR = 180

(Angle sum property)

60 + 65 + angle QPR = 180

125 + angle QPR = 180

angle QPR = 180 - 125

angle QPR = 55

I hope this will help you