The angles of a cyclic quadrilateral are in the ratio 1 : 2 : 2 : 5. What is the measure of the greatest angle?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 180°.
Let the angles are x, 2x, 2x, and 5x
So, x + 2x + 2x + 5x = 360°
⇒ 10x = 360°
⇒ x = 36°
Greatest angle = 5x = 5 × 36° = 180°