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

00:09 Let's see if these angles make a triangle.
00:12 Remember, all triangle angles add up to 180 degrees.
00:17 Let's add the given angles and check if they total 180.
00:22 Plug in the values and calculate step by step.
00:39 Great! The angles add up to 180 degrees, so it is a triangle.
00:57 And that's how you determine if angles form a triangle!

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