The measures of angles of a quadrilateral in degrees are

Question

x, 3x-40, 2x and 4x+20. Find the measures of the angles.

Answer 1

The quadrilateral angles are x , 3x - 40, 2x  and  4x + 20

Sum of angles in quadrilateral is 360^o

x + 3x - 40 + 2x + 4x + 20 = 360

10x - 20 = 360

10x = 360 + 20

10x = 380

x = 380/10

x = 38^o

So 2x = 2(38) = 76^o

3x - 40 = 3(38) - 40 = 74^o

4x + 20 = 4(38) + 20 = 172^o

The angles of the quadrilateral are 38^o, 76^o, 74^o and 172^o .