Question

ab parallel to cd and t transversal cuts e and f if ef and fq are the bisectors of angle aef and eff prove ep parallel fq​

Answer 1

Step-by-step explanation:

AB parallel CD and let EF be the transversal

therefore angle EGB = angle GHD

(forming corresponding angles)

therefore angle GHD = 35°

angle GHD = angle PHQ.... opposite angles

therefore angle PHQ = 35°

In Δ PHQ, angle P = 90° and angle PHQ = 35°

therefore angle PQH = 55°

.......(remaining angle of a triangle)