Question

find the values of x and y

Answer 1

This is an isosceles triangle:
3x = y + 7

Make y the subject:
y = 3x - 7 ------------------------------------ (1)

Sum of all angles in a triangles is 180:
3x + (y + 7) + 90 = 180

Simplify the equation:
3x + y + 7+ 90 = 180 
3x + y = 180 - 90 - 7
3x + y = 83

Make y the subject:
y = 83 - 3x ------------------------------------ (2)

Equate (1) and (2) and find the value of x:
 3x - 7 = 83 - 3x
3x + 3x = 83 + 7
6x = 90
x = 15°

Find the value of y:
y = 3x - 7
When x = 15
y = 3(15) - 7
y = 38°

Ans: x = 25°, y = 38°

Answer 2

answer: x=25 degrees y=38 degrees