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 Could these be angles of any triangle?
00:03 The sum of angles in a triangle equals 180
00:07 Let's substitute appropriate values according to the given data and solve
00:11 The sum of angles equals 180, therefore it could be a triangle
00:19 And this is the solution to the question

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.