Answer:
x = 15, y = 40
Explanation:
∠AEB and ∠AED are supplementary angles, thus they sum to 180°, thus
6x + 3x + 45 = 180
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15
∠FJG and ∠FJI are vertical angles and congruent, thus
5y - 50 = 4y - 10 ( subtract 4y from both sides )
y - 50 = - 10 ( add 50 to both sides )
y = 40