Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The largest angle is -

Question: Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The largest angle is -Solution:Let First angle = 3xSecond angle = 4xThird angle = 5xand fourth angle = 8xWe know 3x + 4x + 5x + 8x = 360°⇒ 20x = 360°⇒ x = 18°∴ Measure of largest angle = 8x= (8 × 18°)= 144°