In the figure given below, PTU is a straight line. What is the value of x?
A
100∘
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B
110∘
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C
120∘
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D
130∘
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Solution
The correct option is A100∘ ∠STP=180∘−∠STU=180∘−85∘=95∘ [Linear pair] We have, sum of all interior angles of "n" sided polygon =(n−2)×180∘ =(5−2)×180∘ =3×180∘=540∘ ⇒x+90∘+125∘+130∘+95∘=540∘ ⇒x+440∘=540∘ ⇒x=540∘−440∘=100∘