Answer:
x = 9 y = 27
Explanation:
Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:
16 ÷ 12 = 1 ¹/₃
32 ÷ 24 = 1 ¹/₃
We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.
6 · 1 ¹/₃ = 8
21 · 1 ¹/₃ = 28
Now that we know the values of each side, we can plug our equations in to find the values of x and y.
x - 1 = 8
x = 9
y + 1 = 28
y = 27
~Hope this helps!~