Question

11) AB II CD, ZBEG = 65° and ZEFC = 80", then find x and y​

Answer 1

Angle AB = 65{ GIVEN }

Angle BCD = Angle BCE + ECD = 30 + 35 = 65.

They are alternate angles

So, AB parallel CD ----------(1)

=> Angle ECD + Angle CEF = 180

=> Angle ECD & Angle CEF are Co-interior

=> EF parallel to CD -------------(2)

=> From (1) & (2)

=> AB parallel to CD & CD parallel EF

=> CD will be cancelled

=> AB parallel to EF

HENCE PROVED