Triangle Angles Problem: Can 90°, 60°, and 40° Form a Valid Triangle?

Question

Tree angles have the sizes:

90°, 60°, and 40.

Is it possible that these angles are in a triangle?

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

00:10 The sum of angles is greater than 180, therefore it's not a triangle

00:13 And this is the solution to the question

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:

$90+60+40=190$

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

Yes.