A) \[{{105}^{o}}\]
B) \[{{65}^{o}}\]
C) \[{{115}^{o}}\]
D) \[{{65}^{o}}\]
Correct Answer: B
Solution :
Sum of angles in a quadrilateral is \[{{360}^{o}}\]. \[\Rightarrow \] \[6p+{{30}^{o}}={{360}^{o}}\] \[\Rightarrow \] \[p={{60}^{o}}+{{5}^{o}}={{55}^{o}}\] \[\therefore \] \[{{(p+25)}^{o}}={{90}^{o}},\,2{{p}^{o}}={{130}^{o}}\] \[{{(p+20)}^{o}}={{65}^{o}}+{{20}^{o}}={{85}^{o}}\] \[\therefore \] The smallest angle is \[{{65}^{o}}\].
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