Question

31. In the given figure PQ|| RS, find the value of a and b.
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Answer 1

Given : PQ || RS  

To Find : Value of a  and b

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Co-Interior angles are supplementary. ( adds up to 180°)

∠b = 60°  as  Interior Alternate angles

110°  = a  + 60°    Exterior angle of triangle = sum of opposite two interior angles

=> a = 50°

Hence a  = 50°   and   b = 60°

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