Triangle Angle Verification: Can 90°, 60°, and 30° Form a Triangle?

Question

Tree angles have the sizes:

90°, 60°, and 30.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

00:00 Could these be angles of some 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
00:12 The sum of angles equals 180, therefore it could be a triangle
00:16 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:

90+60+30=180 90+60+30=180

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

Answer

No.