Answer:
x = 8 and y = 100
Step-by-step explanation:
y + 3x - 16 + 72 = 180
y + 3x + 56 = 180
x + y + 72 = 180
Simultaneous Equation
y + 3x + 56 = 180
y + x + 72 = 180
Take y + x + 72 = 180 from y + 3x + 56 = 180
y + 3x + 57 = 180
-
y + x + 72 = 180
=
2x - 16 = 0
Add the 16 onto both sides to have x on only one side.
2 x = 16
Divide by 2 to find x
x = 8
Substitute back into triangle
72 + x + y = 180
72 + 8 + y = 180
180 - 80 = 100
y = 100
Double check.
72 + y + (3x - 16) = 180 (A straight line is 180 degrees)
72 + 100 + (24 - 16) = 180
72 + 100 + 8 = 180
