Calculate Angle ACB in an Equilateral Triangle: Interior Angle Problem

ABC is an equilateral triangle.

Determine the size of angle ACB ∢ACB ?

AAABBBCCC

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

ABC is an equilateral triangle.

Determine the size of angle ACB ∢ACB ?

AAABBBCCC

2

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!

3

Final Answer

60°

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In a right triangle, the side opposite the right angle is called....?

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