Exterior Angle Property


 
 
Concept Explanation
 

Exterior Angle Property

Exterior Angle Property:

An exterior angle of a triangle is equal to the sum of the opposite interior angles. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.In order words:Exterior Angle = Sum of Interior Opposite Angles As shown in the following diagram:Exterior Angle is ∠ ACD and its two interior opposite angles are ∠ BAC and ∠ ABCMeasure of ∠ ACD = 130°Measure of one interior ∠ BAC = 60°Measure of other interior ∠ ABC = 70°Now, we can observe that:130° = 60° + 70°Or we can say:∠ ACD = ∠ BAC and ∠ ABCHence, its demonstrated that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles  

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Find the measure of angle angle JKX in the following triangle

Right Option : A
View Explanation
Explanation
Question : 2

Find the meansure of each exterior angle of an equilateral triangle.

Right Option : B
View Explanation
Explanation
Question : 3

In a triangle,an exterior angle at a vertex is 95^0 and its one of the interior opposite angle is 55^0,then the measure of the other interior angle is

Right Option : C
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
 
Related Videos


Students / Parents Reviews [20]