A) \[\text{125 }\!\!{}^\circ\!\!\text{ }\]
B) \[\text{75 }\!\!{}^\circ\!\!\text{ }\]
C) \[\text{108 }\!\!{}^\circ\!\!\text{ }\]
D) \[\text{120 }\!\!{}^\circ\!\!\text{ }\]
Correct Answer: C
Solution :
Let the angles be x, 2x, 3x and 4x. Sum of the angles of a quadrilateral \[=360{}^\circ \] \[=x+2x+3x+4x=360{}^\circ \] \[\Rightarrow 10x=360{}^\circ \Rightarrow x=36{}^\circ \] \[\therefore \] Required difference \[=4x-x=3x=3\times 36{}^\circ =108{}^\circ \]
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