The sum of the angles of a quadrilateral is
(a) 180°
(b) 270°
(c) 360°
(d) 300°

Solution:

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

Consider a quadrilateral RSTU

It can be split into two triangles as triangle RST and RUT

Angle sum property states that the sum of all three interior angles of a triangle is equal to 180°.

Since the quadrilateral has two triangles, the sum of angles of two triangles = 180° + 180°

= 360°

Sum of all angles of the quadrilateral RSTU is 360°

Therefore, the sum of all angles of a quadrilateral is 360°.

✦ Try This: The sum of all three interior angles of a triangle is (a) 180°, (b) 270°, (c) 360°, (d) 300°

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Solved Problem 4

The sum of the angles of a quadrilateral is, (a) 180°, (b) 270°, (c) 360°, (d) 300°

Summary:

The sum of all angles of a quadrilateral is 360°.

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