Sum of all the angles of a quadrilateral is 180°. State whether the statement is true or false.

Solution:

Given, Sum of all the angles of a quadrilateral is 180°.

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.

Sum of interior angles of a polygon = (n - 2) x 180°

Here, n = 4

= (4 - 2) x 180°

= 2 x 180°

= 360°

The sum of interior angles of quadrilaterals is always equal to 360 degrees.

The sum of exterior angles of quadrilaterals is always equal to 360 degrees.

Therefore, the sum of all angles of a quadrilateral is not 180 degrees.

✦ Try This: Sum of all the angles of a quadrilateral is 720°. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 97

Sum of all the angles of a quadrilateral is 180°. State whether the statement is true or false.

Summary:

The given statement, ”Sum of all the angles of a quadrilateral is 180°” is false.

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