Question

three angles of a quadrilatral are in the ratio 2:3:5.if it's fourth angle measure is 70 degree find the measure of the remaining three angles

Answer 1

2:3:5
let there be x
2x 3x 5x are required angles
and the fourth angle is 70
we know that sum of angles in quadrilateral is 360
2x+3x+5x+70=360
implies 10x=290
impliesx=29
there fore our required angles become 2(29),3(29),5(29)
i.e 58,87,145.
the angles are 58,87,145