Triangle Angle Verification: Do 56°, 89°, and 17° Form a Valid Triangle?

Question

Angle A equals 56°.
Angle B equals 89°.
Angle C equals 17°.

Can these angles make 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
00:08 We want to check if our sum of angles equals 180
00:13 Let's substitute appropriate values and solve
00:30 The sum of angles is less than 180 therefore cannot form a triangle
00:34 And this is the solution to the question

Step-by-Step Solution

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

56+89+17=162 56+89+17=162

The sum of the given angles is not equal to 180, so they cannot form a triangle.

Answer

No.