EXERCISE 8.1The angles of quadrilateral are in the ratio 3:5:9: 13. Fi

1.	EXERCISE 8.1The angles of quadrilateral are in the ratio 3:5:9: 13. Find all the angles ofquadrilateral1.
Answer» Let X be the common multipleThen, 3x + 5x + 9x + 13x = 360 (As sum of angles of a quadrilateral is 360°) 30x = 360 x = 12°The angles are 3x = 312 = 36° 5x = 512 = 60° 13x = 1312 = 156° 9x = 912 = 108°

EXERCISE 8.1The angles of quadrilateral are in the ratio 3:5:9: 13. Find all the angles ofquadrilateral1.

Answer»

Let X be the common multipleThen, 3x + 5x + 9x + 13x = 360 (As sum of angles of a quadrilateral is 360°)

30x = 360 x = 12°The angles are 3x = 3*12 = 36° 5x = 5*12 = 60° 13x = 13*12 = 156° 9x = 9*12 = 108°