The value of 'x' is 5/4 and the value of 'y' is 7/4 and this can be determined by using similar triangle properties.
Given :
Two triangles are given in the figure.
The following steps can be used in order to determine the value of 'x' and 'y':
Step 1 - According to the given figure, both the triangles are similar.
Step 2 - So, the value of 'x' and 'y' can be calculated as:
[tex]\dfrac{5}{5+x}=\dfrac{7}{7+y}=\dfrac{8}{10}[/tex] --- (1)
Step 3 - Now, solve the above equation for 'x'.
[tex]\begin{aligned}\\{\dfrac{5}{5+x}&=\dfrac{8}{10}\\50&=40+8x\\x&=\dfrac{5}{4}\\\end{aligned}[/tex]
Step 4 - Now, solve the equation (1) for 'y'.
[tex]\begin{aligned}\\{\dfrac{7}{7+y}&=\dfrac{8}{10}\\70&=56+8y\\y&=\dfrac{7}{4}\\\end{aligned}[/tex]
The value of 'x' is 5/4 and the value of 'y' is 7/4.
For more information, refer to the link given below:
https://brainly.com/question/10652623
