Respuesta :

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

The measure of angle Y in the equilateral triangle shown in the image given can be calculated as: 60°.

What is an Equilateral Triangle?

An equilateral triangle is a triangle that has interior angles that are of the same angle measure.

Triangle XYZ has all three interior interior angles marked as congruent.

Since the sum of all interior angles in a triangle is 180 degrees, then each of them measures 60 degrees.

Therefore, the measure of angle Y = 60°

Learn more about equilateral triangle on:

https://brainly.com/question/10790818

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