Triangle Angle Analysis: Can 76°, 52°, and 52° Form a Triangle?

Question

Tree angles have the sizes:

76°, 52°, and 52°.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

00:00 Determine whether the following angles can form a triangle
00:03 The sum of angles in a triangle equals 180
00:07 Substitute in the relevant values according to the given data and proceed to solve
00:11 The sum of the angles equals 180, therefore they could form a triangle
00:19 This is the solution

Step-by-Step Solution

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

We will add the three angles to find out if their sum equals 180:

76+52+52=180 76+52+52=180

Therefore, these could be the values of angles in some triangle.

Answer

Yes.