What is the value of x'?
A) \[{{100}^{o}}\]
B) \[{{110}^{o}}\]
C) \[{{120}^{o}}\]
D) \[{{130}^{o}}\]
Correct Answer: A
Solution :
\[\angle STP={{180}^{o}}-{{85}^{o}}={{95}^{o}}\] Sum of all interior angles of 'n' sided polygon \[=(n-2)\times {{180}^{o}}\] \[=(5-2)\times {{180}^{o}}=3\times {{180}^{o}}={{540}^{o}}\] \[\Rightarrow \]\[x+{{90}^{o}}+{{125}^{o}}+{{130}^{o}}+{{95}^{o}}={{540}^{o}}\] \[\Rightarrow \] \[x+{{440}^{o}}={{540}^{o}}\] \[\Rightarrow \] \[x={{540}^{o}}-{{440}^{o}}={{100}^{o}}\]
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