The measure of the angle is 57 degrees
First, we need to know that the sum of the angles in a triangle is equal to 180 degrees
Now, from the diagram shown, we have that the angles are;
2x + 20
X + 10
2X-5
Equate the angles, we have;
2x + 20 + x + 10 + 2x - 5 = 180
collect the like terms, we have;
5x + 25 = 180
5x = 155
Divide by 5
x = 31
Then, the value of the angle is;
= 2(31) - 5
= 62 - 5
= 57 degrees