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 Determine whether these angles form a triangle
00:03 The sum of the angles of a triangle equals 180
00:07 Let's check whether the sum of the angles in the given triangle amounts to 180
00:13 Insert the known values and solve as follows
00:30 The sum of angles equals 180, therefore it is a triangle
00:48 Here is the solution

Step-by-Step Solution

We must first 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, therefore they can form a triangle.

Answer

Yes