Solve and show work for this problem

Mathematics

1 answer:

il63 [147K]2 years ago

4 0

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

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