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6. Lines and Angles
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Q50 of 93 Page 6

In the figure l || m, ∠A = 100°, ∠B = 30° find x.

Since l || m and DA is the transversal,  
∠A = ∠CDB = 100° ….(i)
Now in ΔBCD, we have
ext ∠x = ∠CBD +∠CDB
      x = 30° + 100° = 130°
  ... x = 130°

More from this chapter

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48 In figure, show that AB || EF.
          
49 In the figure, find the value of 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.
           
52 In figure, n||m and p||q. If ∠ 1=75° , prove that ∠ 2=∠ 1+of a right angle.
        
Questions · 93
6. Lines and Angles
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