cn you help me understand and answer this pleas

Question

In geometry vertical angles are congruent, meaning they have the same degree measure. You see these when two straight lines form and X shape. Angles that are opposite one another are called vertical angles. If two of these congruent angles have the same degree measure and Angle 1 is (3x + 10) degrees and Angle 2 is (5x - 4) degrees, set the expressions equal to one another and find the degree measure. Hint: Don't just solve for the variable X, you have to solve for degree measure by substitution. Do so in both expressions as a way to check your work. The degree measures should be the same if you solved for the variable correctly.

Answer 1

Angle 1 = Angle 2

 

3x + 10 = 5x - 4

 

Solve for x from this equation.  When you have your x value, substitute that value into the expression representing Angle 1 and Angle 2 to see if the angles are exactly the same value.  If the angle measures do not have the same value, then you made an error in your algebra.