What is the value of x and y​

Step-by-step explanation:

(25x+8)°+(9x+2)°=180--->(1)(sum of angles on a straight line

(7y+5)°=(9x+2)°>(2)(vertical angles)

25x°+8°+9x°+2°=180°

34x°=170°

x=5°

from equation (2) substitute for x=5°

7y°+5°=9x°+2°

7y°+5°=9(5)°+2°

7y°=47°-5°

7y°=42°

y=6°

(x, y)=(5°,6°)

Use pythagorean’s theorem and find the missing side lengths of the two smaller triangles and add them together
13^2 - 12^2 = 5
15^2 - 12^2 = 9
5+9 = 14
14 is the length of each side of the square
14^2 + 14^2 = 19.8
19.8 is the diagonal length of the inside if the square