In figure, n||m and p||q. If ∠ 1=75° , prove that ∠ 2=∠ 1+of a right angle.
        

50 In the figure l || m, ∠A = 100°, ∠B = 30° find x.
51 In figure, p is a transversal to lines m and n, ∠1 = 60° and Р2 =  of a right angle. Prove that m || n.
            53 In the figure, AM ⊥ BC and AN is the bisector of ∠BAC. If ∠B = 70° and ∠C = 35°,  find  ∠MAN.
54 In the given figure lines AB and CD intersect at O. If Ð BOC + Ð BOE = 70⁰ and Ð BOD = 130⁰, find ഋOC and reflex Ð AOC