What is the sum of all the angles of a pentagon?
(a) 180°
(b) 360°
(c) 540°
(d) 720°

Solution:

We have to find the sum of all the angles of a pentagon.

A pentagon is a geometric two-dimensional shape with five sides and five angles.

A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other.

A pentagon has five straight sides that do not overlap.

We know that the sum of angles of a polygon is (n - 2) x 180°,

where n is the number of sides of the polygon.

Here, n = 5

Sum of angles = (5 - 2) x 180°

= 3 x 180°

= 540°

Therefore, the sum of all the angles of a pentagon is 540°.

✦ Try This: What is the sum of all the angles of a octagon?

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 14

What is the sum of all the angles of a pentagon? (a) 180° (b) 360° (c) 540° (d) 720°

Summary:

The sum of all the angles of a pentagon is 540°.

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