Question

prove that sum of two interior angle is equal to its opposite exterior angle​

Answer 1

Answer:

In a triangle, the exterior angle is always equal to the sum of the interior opposite angle. This property is known as exterior angle property. Any two triangles will be similar if their corresponding angles tend to be congruent and length of their sides will be proportional.

Step-by-step explanation:

Because an exterior angle is equal to the sum of the opposite interior angles, it follows that it must be larger than either one of them. Stated more formally:

Theorem: An exterior angle of a triangle is always larger then either opposite interior angle.

Answer 2

What is a Triangle?

In our daily life, we all see a lot of things that are of different shapes and structures. Things like Traffic signs, pyramids, truss bridges, sailboards, roof a house area few things that look like a triangle. So what is a triangle? A triangle is a closed polygon that is formed by only three line segments. Triangles can be classified on the basis of their sides and angles. On the basis of their sides, triangles can be an equilateral, isosceles, and scalene. And on the basis of their angle, a triangle can be an acute triangle, right triangle, an obtuse triangle.

Properties of Triangle

• The properties of a triangle are listed below

• The sum of all the internal angles of a triangle is always equal to 180 degrees.

• The sum of the length of any two sides of a triangle is always greater than the third side of the triangle.

• The difference between the length of any two sides of a triangle is always less than the length of the third side of the triangle.

• The side that is at the opposite side of the greater angle is always the longest side among all the three sides of a triangle.

• In a triangle, the exterior angle is always equal to the sum of the interior opposite angle. This property is known as exterior angle property.

• Any two triangles will be similar if their corresponding angles tend to be congruent and length of their sides will be proportional.

• The area of a triangle is ½ x base x height

The perimeter of the triangle is the sum of all its three sides.