Question 33

waecmaths question: 

The interior angles of a polygon are 3xo, 2xo, 4xo, 3xo and 6xo. Find the size of the smallest angle of the polygon

Option A: 

80o

Option B: 

60o

Option C: 

40o 

Option D: 

30o

waecmaths solution: 

The sum of n - sided interior angle of a polygon is givenFor 5-sided figure, the sum of the interior angle$(5-2)\times 180{}^\circ =540{}^\circ $$3x{}^\circ +2x{}^\circ +4x{}^\circ +3x{}^\circ +6x{}^\circ =540{}^\circ $$18x{}^\circ =540{}^\circ $$x=30$$\text{The smallest angle is }2x{}^\circ =2(30{}^\circ )=60{}^\circ $

maths year: