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Question

In the figure, ∠POR and ∠QOR form a linear pair. If a – b = 70o the values of a and b are


A

a = 135o. b = 45o

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B

a = 125o, b = 55o

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C

a = 130o, b = 50o

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D

a = 105o, b = 75o

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Solution

The correct option is B

a = 125o, b = 55o


a + b = 180o (linear pair),

a – b = 70o

Solving the equations for a and b

2a = 250o ⇒ a = 125o,

b = 180o – 125o =55o


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