9514 1404 393
Answer:
x = 50
Step-by-step explanation:
Vertical angles have equal measures.
2(x +10)° = (3x -30)°
2x +20 = 3x -30 . . . . . . divide by ° and eliminate parentheses
50 = x . . . . . . . . . . . . . add 30-2x to both sides
_____
Check
The top angle is 2(50 +10)° = 120°.
The bottom angle is (3(50) -30)° = 120°. The angles are congruent, as they should be.
