Question

In Fig. 60, AB and CD are parallel lines intersected by a transversal by a transversal PQ at L and M respectively. If ∠LMD = 35∘ find ∠ALM and ∠PLA.

Answer 1

∠ALM = ∠LMD = 35° [Alternate Angles]

∠ALM + ∠PLA = 180° [Linear pair]

Hence, ∠PLA = 180° - 35° = 145°

Answer 2

AB ll CD and line PQ is the transversal

by altranet angle

angle LMD=angle ALM

angle ALM=35

angleLMD +angleMLB =180 (INTERIOR

ANGLE)

35+ angle MLB=180

angle MLB =180- 35

AngleMLB = 145

angle PLA =angle MLB (vertically opposite angle )

angle PLA = 145