Question

4.In fig-2, AB || CD. Prove that p+q-r = 180°​

Answer 1

Step-by-step explanation:

draw a line parallel from point F parallel to AB and CD

we know angle BEF=180-p because AEB is a straight line

again BEF =angle EFM(alternate angles)

similarly FGD =r(alternate angles)

therefore ,180-p+r=q

q=180-p+r

p+q-r=180

hence proved