Angle Sum Property

Define Angle Sum Property of a Triangle.

Angle Sum Property of a triangle states that the sum of all the interior angles of a triangle is equal to 180°.  For example, In a triangle PQR, ∠P + ∠Q + ∠R = 180°.

What is the Angle Sum Property of a Polygon?

The angle sum property of a Polygon states that for any polygon with side ‘n’ the sum of all its interior angle is given by,

Sum of all the interior angles of a polygon (side n) = (n-2) × 180°

What is the use of the angle sum property?

The angle sum property of a triangle is used to find the unknown angle of a triangle when two angles are given.

Who discovered the angle sum property of a triangle?

The proof for triangle sum property was first published by, Bernhard Friedrich Thibaut in the second edition of his Grundriss der Reinen Mathematik

What is the Angle Sum Property of a Hexagon?

Angle sum property of a hexagon, states that the sum of all the interior angles of a hexagon is 720°.

Angle Sum Property of a Triangle is the special property of a triangle that is used to find the value of an unknown angle in the triangle. It is the most widely used property of a triangle and according to this property, “Sum of All the Angles of a Triangle is equal to 180º.”

Angle Sum Property of a Triangle is applicable to any of the triangles whether it is a right, acute, obtuse angle triangle or any other type of triangle. So, let’s learn about this fundamental property of a triangle i.e., “Angle Sum Property “.