The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only. State whether the statement is true or false.
Solution:
Given, The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only.
We have to determine if the given statement is true or false.
A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
The sum of exterior angles of quadrilaterals is always equal to 360 degrees.
Sum of interior angles of a polygon = (n - 2) × 180°
Here, n = 4
= (4 - 2) × 180°
= 2 × 180°
= 360°
Therefore, the sum of interior angles and the sum of exterior angles of a quadrilateral is equal to 360 degrees.
✦ Try This: The sum of interior angles and the sum of exterior angles taken in an order are equal in case of square. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 102
The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only. State whether the statement is true or false.
Summary:
The given statement, ”The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only” is true.
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