Question

What is the sum of the interior angles of a triangle?

Answer 1

Hint: A triangle can be defined as the polygon with three edges and the three vertices and it is the very basic shape in the geometry. There are a number of different types of angles and also known the difference and properties of the angles. Measure of the angle is expressed in radians or degrees.

Complete step-by-step answer:

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C,( SAY)
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane
In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.
The sum of the angles of the triangle equals the straight angle that is ${180}^{\circ }$ degrees.
The straight angle is also known as the “pi” radians, two right angles or the half turn.
So, the correct answer is “ ${180}^{\circ }$ degrees.”.

Note: Always remember that the sum of two complementary angles is always ninety degrees. The sum of two angles in supplementary is always one-eighty degree. Coterminal angles can be defined as the angles which share the same initial side and the terminal sides. It is as simple as adding or subtracting the ${360}^{\circ }$ from each angle which depends on whether the given angles are in the measure of degrees or the radians.