Triangle Angle Validation: Do 31°, 122°, and 85° Form a Valid Triangle?

Question

Tree angles have the sizes:

31°, 122°, and 85.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

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
00:11 The sum of angles is greater than 180, therefore they cannot form a triangle
00:17 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:

31+122+85=238 31+122+85=238

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

Answer

Impossible.

More Questions

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