Final answer:
The measure of each angle is 110° and 70°, and the value of x is 60.
Step-by-step explanation:
The sum of the measures of the angles (2x - 10)° and (x + 10)° is 180°. In order to find the value of x and the measure of each angle, we can set up an equation:
(2x - 10) + (x + 10) = 180
Combining like terms, we have:
3x = 180
Dividing both sides by 3, we get:
x = 60
Substituting x = 60 into the expressions for the angles, we have:
(2(60) - 10)° = 110°
(60 + 10)° = 70°