Triangle Angle Validation: Can 50°, 41°, and 81° Form a Triangle?

Tree angles have the sizes:

50°, 41°, and 81.

Is it possible that these angles are in a triangle?


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Step-by-step video solution

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00:00 Determine whether the following angles could form a triangle
00:03 The sum of angles in a triangle equals 180
00:07 Substitute in 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
00:13 This is the solution

Step-by-step written solution

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1

Understand the problem

Tree angles have the sizes:

50°, 41°, and 81.

Is it possible that these angles are in a triangle?


2

Step-by-step solution

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

We'll add the three angles to see if their sum equals 180:

50+41+81=172 50+41+81=172

Therefore, these cannot be the values of angles in any triangle.

3

Final Answer

Impossible.

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Can a triangle have a right angle?

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