Answer:
x = 54
Step-by-step explanation:
The 2 marked angles are vertical angles and therefore congruent, thus
3x - 52 = 2x + 2 ( subtract 2x from both sides )
x - 52 = 2 ( add 52 to both sides )
x = 54
As a check
3x - 52 = (3 × 54) - 52 = 162 - 52 = 110
2x + 2 = (2 × 54) + 2 = 108 + 2 = 110
