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6. Lines and Angles
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Q51 of 93 Page 6

In figure, p is a transversal to lines m and n, ∠1 = 60° and Р2 =  of a right angle. Prove that m || n.
           

∠1 = 60° (Given)
∠1 = ∠3(Vertically opposite angles)
∠2 = of a right angle (Given)
   = × 90° = 60° ∴ ∠2 = ∠3
Since ∠2 and ∠3 are a pair of corresponding angles which are equal, m||n.

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49 In the figure, find the value of x. 
50 In the figure l || m, ∠A = 100°, ∠B = 30° find x.
52 In figure, n||m and p||q. If ∠ 1=75° , prove that ∠ 2=∠ 1+of a right angle.
        
53 In the figure, AM ⊥ BC and AN is the bisector of ∠BAC. If ∠B = 70° and ∠C = 35°,  find  ∠MAN.
Questions · 93
6. Lines and Angles
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