A) \[{{105}^{\text{o}}}\]
B) \[{{115}^{\text{o}}}\]
C) \[{{95}^{\text{o}}}\]
D) \[{{119}^{\text{o}}}\]
Correct Answer: B
Solution :
[b] Sum of the angles of a pentagon \[=\left( 2\times 5-4 \right)\times 90{}^\circ =540{}^\circ \] \[\therefore \text{ }540{}^\circ =3x+\left( 90{}^\circ +105{}^\circ \right)\] \[\Rightarrow 3x=345{}^\circ \,\,or\,\,x=\text{ }115{}^\circ .\]
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