Question 45

loading...

Prev/Next links

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

maths year: