Question 29

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Jambmaths question: 

The interior angles of a quadrilateral are ( x +15)o, (2x –45)o, (x – 30)o and ( x +10)o. Find the value of the least interior angle

Jamb Maths Solution: 

$\begin{align}  & {{(x+15)}^{\circ }}+{{(2x-45)}^{\circ }}+{{(x-30)}^{\circ }}+{{(x+10)}^{\circ }}={{360}^{\circ }} \\ & 5x-50={{360}^{\circ }} \\ & 5x={{410}^{\circ }} \\ & x={{82}^{\circ }} \\ & \text{The least angle will }{{(x-30)}^{\circ }}={{(82-30)}^{\circ }}={{52}^{^{\circ }}} \\\end{align}$

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