Answer:
x = 18
y = 6
Step-by-step explanation:
In triangle UTR, measures of all angles are equal (60°). (given) 
Therefore, it is an equilateral triangle. 
So, it's sides will also be equal. 
In triangle TRS, m angle T = m angle S
So, RT = RS = 11 (sides opposite to the equal angles are equal) 
In triangle URT, 
UT = RT (sides of equilateral triangle) 
x - 7 = 11
x = 11 + 7
x = 18
In triangle TRS, 
m angle T = m angle S = 5y°
m angle R = 180° - 60° = 120° (Linear pair angles) 
5y° + 5y° + 120° = 180°
10y° = 180° - 120°
10y° = 60°
y = 60/10
y = 6