Question

In the given figure AB parallel CD Prove that p + q - r = 180​

Answer 1

Answer:

draw a line parallel to AB and CD and name it FS

so AE parallel to FS and CD

Angle P + angle EFS. = 180. ( co interior angle)

angle EFS = 180- angle p

Now angle R = angle GFS. ,( alternate angle)

we know angle Q = angle EFS + angle R

angle Q = 180 - angle P. + angle R

Q +P -R. = 180