Question

in the given feagurs,a/b is transversal line.if < 1 = 80° find all other angles​

Answer 1

Given that, ∠LMD = 35°

From the figure we can write

∠LMD and ∠LMC is a linear pair

∠LMD + ∠LMC = 180° [sum of angles in linear pair = 180°]

On rearranging, we get

∠LMC = 180° – 35°

= 145°

So, ∠LMC = ∠PLA = 145°

And, ∠LMC = ∠MLB = 145o

∠MLB and ∠ALM is a linear pair

∠MLB + ∠ALM = 180°[sum of angles in linear pair = 180°]

∠ALM = 180° – 145°

∠ALM = 35°

Therefore, ∠ALM = 35°, ∠PLA = 145°.