Question

angle PBC = 70°, angle CND = 36° and PQ || RS.
Find the value of x.​

Answer 1

Step-by-step explanation:

angle PBD = angle XDS ( alternate angle)

angle XDS = 70

angle XDS + angle 36 = x angle ( exterior angle property of triangle)

angle X = 70+36=106

Answer 2

Answer:

PQ||RS

BY CONSTRUCTION- Draw aline passing through X name it EF

When Lines are parallel the alternate interior angles are equal,so

PQ||EF And EF||RS

PBC=BCF(ALTERNATE INTERIOR ANGLES)

=70°

SIMILARLY

ANGLE 36 = FCD(ALTERNATE INTERIOR ANGLES)

FCD=36°

x=ANGLE BCF+ANGLE FCD

x=70+36

x=106