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

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

Can these angles make a triangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

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

Can these angles make a triangle?

2

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.

3

Final Answer

No.

Practice Quiz

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Indicates which angle is greater

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