The sum of the interior angles of the figure is 360°, it means that we can formulate the following equation:
(2x+20)° + (3x - 10)° + (2x)° + (2x - 10)° = 360
Then, solving for x, we get:
2x + 20 + 3x - 10 + 2x + 2x - 10 = 360
9x = 360
x = 360/9
x = 40
So, the measure of each interior angle is:
(2x + 20)° = 2*40 + 20 = 100°
(3x - 10)° = 3*40 - 10 = 110°
(2x)° = 2*40 = 80°
(2x - 10)° = 2*40 - 10 = 70°
Answer: 100°
110°
80°
70°
