Answer:
x = 25
Measure of each angle label is 42°
Step-by-step explanation:
(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:
x + 17 = 3x - 33
Solve for x. Collect like terms
17 + 33 = 3x - x
50 = 2x
Divide both sides by 2
50/2 = 2x/2
25 = x
Measure of the two angles are:
x + 17 = 25 + 17 = 42° (substitution)
3x - 33 = 3(25) - 33 = 75 - 33 = 42°
