Question

If the greatest angle of a cyclic quadrilateral is 3 times the least angle, then the radian measure of the least angle is

• A. $45^{\circ}$
• B. $\pi /4$
• C. $\pi / 3$
• D. $\pi / 2$

Answer 1

Answer: (B)

$\pi /4$

Answer 2

In cyclic quadrilateral sum of opposite angles is $180^{\circ}$. This means if an angle is greatest then its opposite angle ?is least. Let the least angle be $x$ .
So, $x + 180^{\circ} \Rightarrow \, x = 45^{\circ} = \frac{\pi}{4}$