Triangle Angle Verification: Can 90°, 60°, and 30° Form a Triangle?

Question

Tree angles have the sizes:

90°, 60°, and 30.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

00:00 Determine whether the following angles can 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
00:12 The sum of the angles equals 180, therefore it could be a triangle
00:16 This is the solution

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:

90+60+30=180 90+60+30=180

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

Answer

No.

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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

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