Calculate Angle ACB in an Equilateral Triangle: Interior Angle Problem

Question

ABC is an equilateral triangle.

Determine the size of angle $∢ACB$ ?

00:00 Find angle ACB

00:07 An equilateral triangle according to the given

00:18 In an equilateral triangle all angles are equal

00:24 The sum of angles in a triangle equals 180

00:28 Therefore we divide this sum by 3 to find each angle

00:34 In an equilateral triangle each angle equals 60

00:40 And this is the solution to the question

In order to solve this exercise, we need to be aware of two important laws-

1: In an equilateral triangle, all angles are equal.

2: The sum of angles in a triangle is 180.

Let's begin by defining the angle size as X.

We know that all angles are equal, and together they equal 180 degrees, therefore:

3X=180

Divide by 3

X=60

Hence the angle size is 60 degrees!

60°