Name: Introduction to Triangles and its Properties
Uploaded: 2019-07-19
Duration: 33 min 54 s
Description: In this video, basic concepts of Triangles, different types of Triangles and its properties are discussed. The content in this video is helpful to solve the related problems on this topic.

Question

Are the exterior angles formed at each vertex of a triangle equal?

Accepted Answer

Exterior angles of a triangle are formed when the sides of the triangle are produced.

For example, in $△ A B C$ given below,

$∠ B A D, ∠ C B E and ∠ A C F$ are the exterior angles.

We can see that,

$∠ B A D = 180 ° - ∠ B A C$ ,

$∠ C B E = 180 ° - ∠ A B C$ and

$∠ A C F = 180 ° - ∠ A C B$

So, each exterior angle is supplementary to the corresponding interior angle.

Now, in a Scalene Triangle, all the interior angles have different measures.

Hence, the exterior angles formed at the vertices will also be different.

Only in the case of an Equilateral triangle, the exterior angles formed at each vertex of a triangle will be equal.

Therefore, the exterior angles formed at each vertex of a triangle may or may not be equal, depending on the type of the triangle.

Jammu and Kashmir Board Solutions for Chapter: The Triangle and Its Properties, Exercise 5: THINK, DISCUSS AND WRITE

Jammu and Kashmir Board Mathematics Solutions for Exercise - Jammu and Kashmir Board Solutions for Chapter: The Triangle and Its Properties, Exercise 5: THINK, DISCUSS AND WRITE

Questions from Jammu and Kashmir Board Solutions for Chapter: The Triangle and Its Properties, Exercise 5: THINK, DISCUSS AND WRITE with Hints & Solutions

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