What is the sum of all the angles

Question:

What is the sum of all the angles of a pentagon?

(a) 180°

(b) 360°

(c) 540°

(d) 720°

Solution:

(c) 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.

In pentagon, n = 5

Sum of the angles = (n – 2) x 180° = (5 – 2) x 180°

= 3 x 180°= 540°

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