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Question 3
In the adjoining figure, pq. Find the unknown angles. 

 


Solution

Given parallel lines p, q are cut by a transversal line.

125+e=180 [Linear pair]

e=180125=55   (i)

e=f=55 [Vertically opposite angles]

a=f=55 [Alternate interior angles] 

a+b=180 [Linear pair]

55+b=180 [From eq. (i)]

b=180055=125

a=c=55 , b=d=125 [Vertically opposite angles]

a=55, b=125

c=55, d=125, e=55, f=55.

Mathematics

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