Angles Subtended by an Arc at the Centre Is Twice the Angle Subtended at the Circumference
A 20∘B 25∘C 3...
Question
Question 6 In the figure, POQ is a line. The value of x is:
A) 20∘ B) 25∘ C) 30∘ D) 35∘
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Solution
The answer is A. POQ is a line segment. ∴∠POQ=180∘⇒∠POA+∠AOB+∠BOQ=180∘⇒40∘+4x+3x=180∘[Putting∠POA=40∘,∠AOB=4xand∠BOQ=3x]⇒7x=180∘−40∘⇒7x=140∘⇒x=140∘7∴x=20∘