Answer :
Answer:
x = 7.5, y = 134
Step-by-step explanation:
Since both polygons are similar, hence the ratio of their similar sides will be equal to a constant;
Using the similarity theorem;
6/4 = x/5
4x = 6 * 5
4x = 30
x = 30/4
x = 7.5
Also;
y - 73 = 61
y = 73+61
y = 134
Hence x = 7.5, y = 134
The values of x and y are x = 73 and [tex]\[ y= 11661^061165\][/tex].
To find the values of x and y for similar polygons, we need to use the properties of similar figures. Similar polygons have corresponding angles that are equal and corresponding sides that are in proportion.
Given that the two polygons are similar, we can set up a proportion between the corresponding sides. Let's denote the sides of the first polygon as A and B, and the corresponding sides of the second polygon as x and y. The proportion can be written as: [tex]\[ \frac{A}{x} = \frac{B}{y} \][/tex]
We are also given that the value of x is 73. We can substitute this value into the proportion to find the value of y: [tex]\[ \frac{A}{73} = \frac{B}{y}[/tex]
To solve for y, we need to know the values of A and B. However, these values are not provided in the question. Instead, we are given a relationship involving x and y: [tex]\[ 11661^061165X = y \][/tex]
Since we know x = 73, we can substitute x into the equation to find y:
[tex]\[ 11661^061165 \times 73 = y \][/tex]
Now, we perform the multiplication: [tex]\[ y = 851713 \][/tex]
However, this result does not seem correct because the value of y is unusually large and does not match the format of the given equation, which suggests that y should be an angle measure. The degree symbol and the large number 11661°61165 are likely a typographical error. The correct equation should probably involve a simpler ratio or proportion.
Assuming that the equation should have been a simple multiplication of x by a ratio to find y, we can correct the equation. If we consider that the ratio of the sides of the similar polygons is equal to the ratio of their corresponding angles, we can write: [tex]\[ \frac{A}{x} = \frac{B}{y} \][/tex]
Since we do not have the actual measures of A and B, we can assume that the ratio of A to B is equal to the ratio of x to y. Therefore, if x = 73, then y should be the corresponding angle measure in the similar polygon. Without additional information, we cannot determine the exact value of y, but we can state that y is the angle corresponding to side B in the second polygon when side A in the first polygon corresponds to x = 73.
The correct values based on the given information are x = 73 and y = 11661°61165, which is likely a placeholder for the actual angle measure corresponding to side B in the second polygon. To find the exact value of y, we would need the actual measures of the sides or angles of the polygons.
