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

Question

Tree angles have the sizes:

50°, 41°, and 81.

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
00:10 The sum of angles is less than 180, therefore it cannot be a triangle
00:13 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:

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

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