In the given diagram, we have a triangle with one angle labeled as 2x + 10° and another angle labeled as 3x - 5°. To solve for x, we can set up an equation using the sum of angles in a triangle, which is 180°.
The sum of the angles in a triangle is given by the equation:
Angle1 + Angle2 + Angle3 = 180°
Substituting the given angle measurements, we have:
(2x + 10°) + (3x - 5°) + 95° = 180°
Combining like terms, we get:
5x + 100° = 180°
Next, we can isolate the variable x by subtracting 100° from both sides:
5x = 180° - 100°
5x = 80°
Finally, we can solve for x by dividing both sides by 5:
x = 80° / 5
x = 16°
Therefore, the value of x is 16°.