Since all three sides are equal, we can classify the given triangle as an equilateral triangle. By the definition of an equilateral triangle, all the angles are equal and add up to 60 degrees. This means that we need to equate the given expressions each to 60 degrees. <u>Angle Z:</u> 2x - 4 = 60 2x = 64 x = 32 <u>Angle Y:</u> 5y = 60 /5 /5 y = 12 Therefore, the value of the variable x is 32. Hope this helped and have an exceptional day!