• # question_answer 1 : 2 : 3 : 4 : 5 : 7 : 8 is the ratio of the angles of a heptagon. What is the value of the smallest angle? 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 $=30{}^\circ$

You need to login to perform this action.
You will be redirected in 3 sec