Question

Three angles of a quadrilateral are in the ratio 2:3:7. The mean of these angles is 64°. Find all the angles

Answer 1

let those three angles be 2x, 3x, and 7x

let the fourth angle be y;

the sum of all these angles will be 360

2x + 3x + 7x + y = 360

y + 12x = 360

y = 360 - 12x...............(1)

"the mean of these angles is 64"

mean of the 3 angles. ; 12x/3 = 64

4x = 64

x = 16

from this y is obtained frm y = 360 - 12x...............(1)

then y = 360-192 = 168

the 4 angles are : 32° , 48°, 112°, and 168°