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

Question

Tree angles have the sizes:

76°, 52°, and 52°.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

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 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.

Answer

Yes.

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Related Subjects

Sum and Difference of Angles The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Sides, Vertices, and Angles Types of Angles Exterior angles of a triangle Sum of Angles in a Polygon Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation

Question Types

Parts of a Triangle: Finding the size of angles in a triangle Sum and Difference of Angles: Finding the size of angles in a triangle