Calculate X in an Equilateral Triangle: Finding the Value of 8X

Question

ABC is an equilateral triangle.8X8X8XAAABBBCCCCalculate X.

Video Solution

Solution Steps

00:00 Find X
00:03 In an equilateral triangle, all angles equal 60
00:07 Let's isolate X
00:13 And this is the solution to the problem

Step-by-Step Solution

Since this is an equilateral triangle, all angles are also equal.

As the sum of angles in a triangle is 180 degrees, each angle is equal to 60 degrees. (180:3=60)

From this, we can conclude that: 60=8x 60=8x

Let's divide both sides by 8:

608=8x8 \frac{60}{8}=\frac{8x}{8}

7.5=x 7.5=x

Answer

7.5

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Types of Triangles Sum and Difference of Angles The Sum of the Interior Angles of a Triangle Equilateral triangle Isosceles triangle Sides, Vertices, and Angles Types of Angles Acute triangle Obtuse Triangle Scalene triangle Exterior angles of a triangle Sum of Angles in a Polygon Identification of an Isosceles Triangle

Question Types

Types of Triangles: Finding the size of angles in a triangle Sum and Difference of Angles: Finding the size of angles in a triangle