waecmaths question:
The diagram is a polygon. Find the largest angle of its interiorAngles
Option A:
30o
Option B:
100o
Option C:
120o
Option D:
150o
waecmaths solution:
$\begin{align} & 2x+2x+x+4x+3x={{360}^{\circ }} \\ & \{\text{Sum of exterior angles in a polygon}={{360}^{\circ }}\} \\ & 12x={{360}^{\circ }} \\ & x=\frac{{{360}^{\circ }}}{12}={{30}^{\circ }} \\\end{align}$The least exterior angle will have the large interior angle.The least exterior angle is x which is 30oThe highest interior angle will be 180 – 30o = 150o
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