Q10 of 22 Page 70

Let’s find the value of ∠AOP & ∠BOP if the measurement of AOP is more than ∠BOP by 140°.


According to question,

∠AOP = ∠BOP + 140° (1)


But ∠AOP + ∠BOP = 180° (Linear pair)


Put value of ∠AOP from (1)


∠BOP + 140° + ∠BOP = 180°


2∠BOP = 180° - 140°


2∠BOP = 40°


∠BOP = 20°


Put in (1)


∠AOP = ∠BOP + 140°


∠AOP = 20° + 140°


∠AOP = 160°


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