Question

The measures of the angles are given by letters a, b, c. What is the relation between them?

Answer 1

Hint: Here in this question, we need to find the relation between the letters a, b, c in the given triangle. In a given triangle a, b, c are the angles of corners of a triangle or a, b and c are known as interior angles of a given triangle then by the theorem of “the sum of the measures of all three interior angles of a triangle” to get the required relation.

Complete answer:
The triangle is composed of three interior angles and three sides that can be of the same length or different lengths.
Now consider, the given question:
Letter a, b, c are the measures of angles of given triangle, we need to find the relation between the letters a, b, c.
By the “Triangle Angle Sum Theorem” the sum of interior angles is equal to 180 degrees.
In the given triangle, a, b, c are the measures of interior angles of a triangle, then by the triangle angle sum theorem
$$a + b + c = {180^ \circ }$$
Hence, it’s a required solution.

Note:
If two interior angles of a triangle are known then, it is possible to determine the third angle using the “Triangle Angle Sum” Theorem. To find the third unknown angle of a triangle, subtract the sum of the two known angles from 180 degrees.
Remember,
In ‘Isosceles triangles’ have two equal angles and two equal side lengths.
 Equilateral triangles’ have the same angles and same side lengths.
In ‘Scalene triangles’ have different angles and different side lengths.