Answer:
x = 18
y = 6.4
Step-by-step explanation:
8x-31 + 5y+35 = 180 degrees because they make a straight line
8x + 5y + 2 = 180 subtract 2 from both sides
8x + 5y = 178
line m and line l are parallel then the sum of two angles must be equal to 180 degrees
6x + 3 + 5y + 35 = 180
6x + 5y + 38 = 180 subtract 38 from both sides
6x + 5y = 142 now subtract this expression from the first one
8x + 5y - 6x - 5y = 178 - 142 add/subtract like terms
2x = 36 divide both sides by 2
x = 18 to find y replace x with 18 in any given angles' expression
6x + 5y + = 142
6*18 + 5y = 142
108 + 5y = 142 subtract 108 from both sides
5y = 34 divide both sides by 5
y = 6.4
