x,x+10,x+20,x+30

The sum of the angles of a quadrilateral is equal to 360 degrees.

x + x + 10 + x + 20 + x + 30 = 360

Combine like terms and solve.

4x + 60 = 360

4x = 300

x = 75

The measurement of the angles are:

x = **75 degrees**

x + 10 = **85 degrees**

x + 20 = **95 degrees**

x + 30 = **105 degrees**

You can check this by adding your 4 angle measurements.

75 + 85 + 95 + 105 = 360

The sum of the angles of a quadrilateral which has four angles is equal to 360 degrees.

This gives x + x + 10 + x + 20 + x + 30 = 360

=> 4x + 60 = 360

=> 4x = 300

=> x = 75 degrees

The angles are 75, 85, 95, 105 degrees.

**The angles of the quadrilateral are 75, 85, 95, 105 degrees.**