In the figure given figure, AOB is a straight line. Find the value of x and also answer the following:
i) ∠AOP=
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Solution
AOB is a straight line. ∴∠AOB=180∘ ∠APB+∠BOP=180∘ x+30∘+x−30∘=180∘ [Given,∠AOP=x+30∘and∠BOP=x−30∘] 2x=180∘ x=180∘2 ∴x=90∘
Hence, the value of x is 90∘
Now, ∠AOP=x+30∘ ∠AOP=90∘+30∘[∵x=90∘] ∴∠AOP=120∘
Hence, ∠AOPis120∘.