Triangle is a polygon whose sum of exterior angles is double the sum of interior angles. State whether the statement is true or false.
Solution:
Given, Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.
We have to determine if the given statement is true or false.
By angle sum property of a triangle, the sum of all interior angles of a triangle is equal to 180 degrees.
A triangle is a simple polygon with 3 sides and 3 interior angles.
A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices.
We know that the sum of all exterior angles of any polygon is equal to 360 degrees.
So, sum of exterior angle = 2(sum of interior angles)
i.e., 360 degrees = 2(180 degrees)
Therefore, the sum of exterior angles is double the sum of interior angles in a triangle.
✦ Try This: Rectangle is a polygon whose sum of exterior angles is double the sum of interior angles. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 99
Triangle is a polygon whose sum of exterior angles is double the sum of interior angles. State whether the statement is true or false.
Summary:
The given statement, ”Triangle is a polygon whose sum of exterior angles is double the sum of interior angles” is true.
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