Answer:
If two of the alternate exterior angles are given as (2x-10)° and (-3x+20)°, we can find the measure of each exterior angle by setting these expressions equal to each other and solving for x.
(2x-10)° = (-3x+20)°
To solve for x, we can start by simplifying the equation:
2x - 10 = -3x + 20
Next, we can combine like terms:
2x + 3x = 20 + 10
5x = 30
Dividing both sides of the equation by 5:
x = 6
Now that we have found the value of x, we can substitute it back into one of the given expressions to find the measure of each exterior angle.
Using (2x-10)°:
2(6) - 10 = 12 - 10 = 2°
Therefore, the measure of each exterior angle is 2°.