Question

Three angles of a quadrilateral are in the ratio 5: 3:2. If the fourth angle is 130°
find the other three angles of the quadrilateral.​

Answer 1

The ratio = 5:3:2
Let the angles =‘x’
Sum of the angles in the quadrilateral = 360 degrees
=5x + 3x + 2x + 130 = 360
= 5x +3x+2x+130-130 =360-130
=5x+3x+2x= 230
=(5+3+2)x =230
=10x=230
=x=230/10
=x=23 degrees

=5x = 5*23=115 degrees
=3x=3*23=69 degrees
=2x=2*23=46 degrees