Question

Two angles of a quadrilateral are 53° and 67° and remaing two angles are in ratio 5:7. Find the measure of each of the two angles.

Answer 1

let the other angles be 5x and 7x
so,
53°+67°+5x+7x = 360°
120°+12x = 360°
12x = 360°-120°
12x = 240°
x = 240°/12 = 20°
so,
the angles are = 100° and 140°

Answer 2

Then the other two angles are 5x,7x then
5x+7x+53°+67=360
120°+12x=360°
12x=360-120
12x= 240
x=240/12
x=20
5×20=100,7×20=140
100°+140°+53°+67°=360°