Question

find the values of x and y.
x = 60
y =
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Explanation:

Step1: Analyze the triangle

Since the figure is composed of equilateral triangles (all sides are equal as indicated by the tick - marks), each angle in an equilateral triangle is \(60^{\circ}\). We already know \(x = 60\) (from the given).

Step2: Find the value of \(y\)

In an equilateral triangle, all sides are equal. By the property of the figure (formed by congruent equilateral triangles), \(y\) is equal to the side length of the equilateral triangle. If we assume the side - length from the equality of segments (marked with red ticks), \(y=60\) (because in an equilateral triangle, side - lengths are equal and angles are \(60^{\circ}\), and here the side - length is consistent with the angle - related side - length determination in the equilateral - triangle - based figure).

Answer:

\(y = 60\)