Question

The angles of quadrilateral are (x-20),(x+30),(x-10),2x.find the measure of the greatest angles

Answer 1

Let the quadrilateral be ABCD

A + B +C + D = 360

which tells that  x-20 + x +30 + x - 10 + 2x = 360

= 5x + 30 - 30 = 360

= 5x = 360 = x = 360/5 = 72

x - 20 = 72 - 20 = 52

x + 30 = 72 + 30 = 102

x - 10 = 72 - 10 = 62

2x = 2 * 72 = 144