Triangle Angle Verification: Can 69°, 93°, and 81° Form a Triangle?

Question

Tree angles have the sizes:

69°, 93°, and 81.

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
00:15 The sum of angles is greater than 180, therefore it cannot be a triangle
00:18 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'll add the three angles to see if their sum equals 180:

69+81+93=243 69+81+93=243

Therefore, these cannot be the values of angles in any triangle.

Answer

No.