Answer:
x = [tex]\frac{80}{3}[/tex], y = 6
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{y}{2}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )
4y = 24 ( divide both sides by 4 )
y = 6
Corresponding angles are congruent.
In the left figure the adjacent angle, inside the polygon is
180° - 100° = 80°, thus
3x = 80 ( divide both sides by 3 )
x = [tex]\frac{80}{3}[/tex]
