Question

AB and CD are parallel lines intersected by transversal PS. If AQP = 300 , findangles , , and m

Answer 1

Answer:

We know that when a line is intersected by a transversal then

Corresponding angles are equal

Alternate interior angles are equal

Vertically opposite angles are equal

According to the problem,

∠LMD=35

o

,

∠LMD=∠ALM=35

o

[ ∵ alternate interior angles are equal ]

=>∠PLA=180−∠ALM [ ∵ angles in a straight line is 180

o

]

∠PLA=180

o

−35

o

∠PLA=145

o

.

∴ ∠ALM=35

o

and ∠PLA=145

o

.