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Question

In the adjoining figure, pq. Find the unknown angles. [4 MARKS]

 


Solution

Application of theorems: 1 Mark
Steps: 1 Mark
Correct answers: 2 Marks

Given p  q 

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=18055=125

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

a=55, b=125

c=55, d=125, e=55, f=55.

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