A) \[{{36}^{o}},\,\,{{108}^{o}},\,\,{{72}^{o}}\] and \[{{144}^{o}}\]
B) \[{{144}^{o}},\,\,{{108}^{o}},\,\,{{72}^{o}}\]and\[{{36}^{o}}\]
C) \[{{36}^{o}},\,\,{{72}^{o}},\,\,{{108}^{o}}\]and\[{{144}^{o}}\]
D) None of these
Correct Answer: B
Solution :
Let the angles of a quadrilateral be \[x,2x,3x\]and \[4x.\] \[\therefore \] \[x+2x+3x+4x={{360}^{o}}\] (\[\therefore \] Sum of angles of a quadrilateral is\[{{360}^{o}}\]) \[\Rightarrow \]\[10x={{360}^{o}}\Rightarrow x={{36}^{o}}\] \[\therefore \] Angles are \[{{36}^{o}},{{72}^{o}},{{108}^{o}},{{144}^{o}}\] And, angles in descending order are [{{144}^{o}},{{108}^{o}},{{72}^{o}},{{36}^{o}}\]
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