Suggested Answer
The required angles of x and y are x = 65° and y = 25°Given is a triangle which is right angled Thus the sum of the right angled triangle is 180 degrees So we will write y° + x + 90 = 180 [ angle sum property of the triangle ]90 + x + y = 180 let the above equation be considered as equation 1 Since two sides are equal thus the other angle will also be x°Also the angle adjacent to 40° can be found out by linear angle property thus according to this :x + x + ( 90 - 40 ) = 180 °2x + 50 = 180 thus subtracting 50 on both sides we get 2x = 130 x = 65°Thus by equation 1 we can rewrite it as y + x + 90 = 180 65 + 90 + y = 180155 + y = 180 this implies y = 180 - 155 y = 25°To know more about triangles or related problems you may visit the link: https://brainly.com/question/14780642#SPJ13