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The sum of angles of a concave quadrilateral is
(a) more than 360°
(b) less than 360°
(c) equal to 360°
(d) twice of 360°

Solution:

We have to find the sum of angles of a concave quadrilateral.

A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.

Concave quadrilaterals are four sided polygons that have one interior angle greater than

180°.

We know that, the sum of interior angles of any polygon (convex or concave) having n sides is(n -2) × 180°.

For a quadrilateral, number of sides n = 4

Sum of interior angles of a concave polygon = (4 - 2) × 180°

= 2 × 180°

= 360°

Therefore, the sum of angles of a concave quadrilateral is equal to 360°.

✦ Try This: The sum of angles of a convex quadrilateral is (a) more than 360°, (b) less than 360°, (c) equal to 360°, (d) twice of 360°

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 39

Summary:

The sum of angles of a concave quadrilateral is equal to 360°.

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