Calculate Angle ACB in an Equilateral Triangle: Interior Angle Problem

Question

ABC is an equilateral triangle.

Determine the size of angle ∢ACB ∢ACB ?

AAABBBCCC

Video Solution

Step-by-Step Solution

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!

Answer

60°

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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 Right 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