Question

prove that p is ll to m

Answer 1

Given:Four lines AN,AM,BR,AB such that ∠ACB =45°,∠ABC=35°.,∠PDA = 80°
Required to prove:p||m
Proof
In ΔACB
∠A+∠B+∠C = 180°
∠A = 180° - (45° + 35°)
∴∠A =100°

Now ∠DAM and ∠CAB Are vertically opposite angles and are equal..
∴∠DAM = 100°

Here ∠DAM +∠PDA=100+80=180

When two lines are cut by a transversal such that the co-interior angles are supplementary,then the lines are parallel.

Thus p || m

Hence proved

Answer 2

yes p is parellal to m because it is ahown in the figure