Answer:
x = 72 , y = 108
Step-by-step explanation:
2x and [tex]\frac{x}{2}[/tex] are adjacent angles on a straight line and sum to 180° , that is
2x + [tex]\frac{x}{2}[/tex] = 180 ( multiply through by 2 to clear the fraction )
4x + x = 360
5x = 360 ( divide both sides by 5 )
x = 72
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[tex]\frac{x}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36
[tex]\frac{x}{2}[/tex] and [tex]\frac{y}{3}[/tex] are vertically opposite and are congruent , then
[tex]\frac{y}{3}[/tex] = 36 ( multiply both sides by 3 )
y = 108
