Question

Draw any polygon and divide it into triangular parts as shown here. Thus work out the sum of the measures of the angles of the polygon.

Answer 1

We know that,

The sum of the measures of the angles of a triangle = 180° 

∴ Sum of measures of the angles of the polygon ABCDEF = Sum of the measures of all the four triangles 

= 4 × 180°

= 720°

∴ The sum of the measures of the angles of the given polygon (hexagon) is 720°.