A) \[30{}^\circ \]
B) \[22\frac{1{}^\circ }{2}\]
C) \[12{}^\circ \]
D) \[24{}^\circ \]
Correct Answer: A
Solution :
Sum of interior angles of a polygon \[=(2n-4)\times 90{}^\circ \] Here, n = number of sides = 7 \[\therefore \] Sum of the interior angles \[=(14-4)\times 90{}^\circ =900{}^\circ \] Given,\[x+2x+3x+4x+5x+7x+8x=900{}^\circ \] \[\therefore \] \[x=\frac{900{}^\circ }{30}=30{}^\circ \] \[\therefore \] Smallest angles \[=30{}^\circ \]
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