Calculate Interior Angles: Finding Angle Measures in an Equilateral Triangle

Question

What is the size of each angle in an equilateral triangle?

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Video Solution

Solution Steps

00:00 Determine the size of each angle in the given equilateral triangle
00:03 In an equilateral triangle all angles are equal
00:07 The sum of angles in a triangle equals 180
00:11 We'll divide this sum by 3 in order to determine the triangle's angles
00:14 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify that an equilateral triangle has all sides of equal length, which implies its angles are also equal.
  • Step 2: Utilize the property that the sum of angles in any triangle is 180180^\circ.
  • Step 3: Since each angle is equal in an equilateral triangle, divide the total sum of 180180^\circ by 3.

Now, let's work through each step:
Step 1: In an equilateral triangle, all angles are equal in size.
Step 2: The sum of angles in any triangle is always 180180^\circ.
Step 3: Divide 180180^\circ by 3.

Calculating 180÷3=60180^\circ \div 3 = 60^\circ.

Therefore, the size of each angle in an equilateral triangle is 6060^\circ.

Answer

60