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

00:10 Let's find out if these angles make a triangle.
00:13 Remember, the angles in a triangle add up to 180 degrees.
00:18 We'll check if the angles we have add up to 180 degrees.
00:23 First, plug in the angles you know, and add them up.
00:40 If the sum is less than 180, it can't be a triangle.
00:44 Here's how we solve it together. Great job staying with it!

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.