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

Question

Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.

Can these angles form a triangle?

Video Solution

Solution Steps

00:00 Can these angles form a triangle?
00:03 The sum of angles in a triangle equals 180
00:07 Let's check if our sum of angles equals 180
00:13 Let's substitute appropriate values and solve
00:30 The sum of angles equals 180, therefore it is a triangle
00:48 And this is the solution to the question

Step-by-Step Solution

We add the three angles to see if they equal 180 degrees:

30+60+90=180 30+60+90=180
The sum of the angles equals 180, so they can form a triangle.

Answer

Yes