Question

Solve and show work for this problem

Answer 1

The two equations are:

x = 5y - 18 (vertically opposite angles are equal)

x + y = 180 (Alternate angles , adjacent angles on a straight line)


x = 5y - 18    ---------------- (1)
x + y = 180   ---------------- (2)

From (2):
x + y = 180
y = 180 - x ---------------- Sub into (1)

x = 5(180 - x) - 18
x = 900 - 5x - 18
6x = 882
x = 147       ---------------- Sub into (2)    

x = 147
y = 180 - 147 = 33

Answer: x = 147, y = 33