Question

In the given figure l || m. Find the values of a, b and c.​

Answer 1

In first figure A= 20 B= 40 C= 120

In figure 2 A= 45 B = 80 C= 55

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Answer 2

Given : l || m

To Find : Values of a , b and c

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°)

Sum of angles of  a triangle is 180°.

i)

c = 120°  Alternate  Interior  angles

b = 40°    Alternate  Interior  angles

a  + b + c = 180°    Straight line

a + 40° + 120° = 180°

=> a = 20°

ii)

a = 40°    Alternate  Interior  angles

c = 55°  Alternate  Interior  angles

a  + b + c = 180°    Straight line

40° + b + 55° = 180°

=> b = 85°

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