Answer:
The set of angles are Vertical Angles, and x=27.
Explanation:
Vertical Angles are a pair of Angles that are formed by two intersecting lines and are not adjacent to one another. Therefore, since 83° and (3x+2) are across from one another, they are Vertical Angles.
Since these are Vertical Angles, they are equal to each other. So, to find the value of x, set the equation equal to 83.
(3x+2)=83
Now, solve the equation. Subtract 2 from both sides. Now we are left with:
3x=81
Divide both sides by 3. Then, you'll find your answer, which is:
x=21