Answer:
142
Explanation:
Alternate exterior angles are congruent which means their measures are equal.
We can write the following equation to find the value of x so that we can calculate the angle measures:
5x - 34 = 3x + 8
- Transfer like terms to the same side of the equation.
5x - 3x = 8 + 34
2x = 42
- Divide both sides with 2.
x = 21
- Replace the x with 21 in either expression to find the measure of angles.
3x + 8 -> 3×21 + 8 = 71
Since they are congruent angles, their sum will be:
71×2 = 142