UTR is an equilateral triangle and RTS is isosceles.
UT = TR = RS
x - 7 = 11
x = 18
The angles in triangle RTS add up to 180 degrees.
5y + 5y + 120 = 180
10y = 60
y = 6
Triangle UTR is an equilateral triangle so all of its angles are equal to 60 and all of its sides are equal. TR =11 because triangle TRS is an isosceles triangle.
Therefore, x - 7 = 11
x = 18
180 - 60 = 120 so angle TRS = 120
180 - 120 = 60
60/2 = 30
Therefore, 5y = 30
y = 6