Triangle Angle Analysis: Can 76°, 52°, and 52° Form a Triangle?

Tree angles have the sizes:

76°, 52°, and 52°.

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
00:09 Let's check if these angles can make a triangle.
00:13 Remember, a triangle has angles that add up to 180 degrees.
00:18 Now, plug in the given angle values and solve step by step.
00:23 If the total is 180 degrees, then, yes, they can form a triangle!
00:29 And that's how you determine if angles can make a triangle.

Step-by-step written solution

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1

Understand the problem

Tree angles have the sizes:

76°, 52°, and 52°.

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 will add the three angles to find out if their sum equals 180:

76+52+52=180 76+52+52=180

Therefore, these could be the values of angles in some triangle.

3

Final Answer

Yes.

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Can a triangle have a right angle?

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