Answer:
x = 15
y = 10
Step-by-step explanation:
ΔTUR is a 60°-60°-60° triangle because all angles are equal and 180/3 is 60
therefore, the angle adjacent to ∡R is 120 because it forms a straight line (which measures 180 degrees)
that means that angles T and S (which are both 3y°) plus angle R equal 180 so you can set up this equation to find y: 120 +6y = 180
6y = 60
y = 10
Because angles T and S are the same we know that TR and TS are also the same, so RT is 15
ΔTUR is equiangular which means it is also equilateral; so if RT is 15 then UT and UR are 15 also
If UT = 15, we can write this equation: x - 5 = 15 and find that x = 20
