Question 708891
All 3 angles in a triangle add up to 180 degrees, so


60+60+y = 180


120 + y = 180


y = 180 - 120


y = 60


So the third angle is 60


Since each angle is 60, we have an equilateral triangle. So we have 3 sides equal to 4x


They add to the perimeter of 54, which means


4x+4x+4x = 54


12x = 54


x = 54/12


x = 27/6


x = 9/2


x = 4.5


So in the end, x = 4.5 and y = 60


Because x = 4.5, each side is therefore 4.5*4 = 18 units long.