Question

Find the value of x.

Answer 1

The triangle shown is an equilateral triangle, since all three sides are congruent. By definition, and equilateral triangle is also equiangular, meaning its interior angles will always be congruent. Since the tree interior angles are congruent in an equilateral triangle, the angle measures are always 60° in order to sum up to a total of 180° because every triangle’s angles sum up to 180°. This is because 60•3=180, since all three angles are 60° to sum up to 180°. Therefore, we know that the angle measure of 5x must = 60.

5x=60

5x/5=60/5

x=12.

Since all three angles are congruent, 5x(3)=180° There are 3 angles that are the measure of 5x that must sum up to 180° and where each angle measure must = 60° in the equiangular-equilateral triangle.

Substituting in x=12:

5(12)(3)=180.

180=180.

Answer 2

12

Explanation:

This triangle is equalateral, so all the sides and all the angles are the same. Since in every triangle all angles add up to 180, they would be evenly distributed. (so 180/3, which is 60) 60/5= 12, so the value of x is 12