Triangle Angle Sum: Can 56°, 89°, and 17° Form a Valid Triangle?

If three angles are sizes 56°, 89°, and 17°.

Is it possible that these angles are in a triangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Can these angles potentially form a triangle?
00:03 The sum of the angles in a triangle equals 180
00:07 Insert the relevant values according to the given data and proceed to solve
00:10 The sum of angles is less than 180, therefore it cannot be a triangle
00:15 This is the solution

Step-by-step written solution

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1

Understand the problem

If three angles are sizes 56°, 89°, and 17°.

Is it possible that these angles are in a triangle?

2

Step-by-step solution

Let's calculate the sum of the angles to see what total we get in this triangle:

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

The sum of angles in a triangle is 180 degrees, so this sum is not possible.

3

Final Answer

Impossible.

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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