Answer:
x = 7.5
y = 9
Explanation:
Remark
Notice that the symbol of the angle above 6x + 5y is the symbol for a right angle. Since all three angles are on a straight line, they are either the supplement of a right angle or a right angle.
Givens
right angle
The right angle's supplement (which is also 90degrees) of (6x + 5y)
10y = 90 degrees which a corresponding equal angle to (6x + 5y)
Solution
10y = 90 See remarks for reason. Divide by 10
10y/10 =90/10
y = 9
6x + 5y =90
6x + 5*9 = 90 Combine
6x + 45 = 90 Subtract 45 from 90
6x = 90 - 45 Combine
6x = 45 Divide both sides by 6
6x/6 = 45/6
x = 7.5