Examinethe table. (Each figure is divided into triangles and the sum o

Examinethe table. (Each figure is divided into triangles and the sum of theangles deduced from that.) Figure Side 3 4 5 6 Angle sum 180° 2 × 180° = (4 − 2) × 180° 3 × 180° = (5 − 2) × 180° 4 × 180° = (6 − 2) × 180° What canyou say about the angle sum of a convex polygon with number of sides?(a) 7(b) 8(c) 10(d) n

Answer»

Examine
the table. (Each figure is divided into triangles and the sum of the
angles deduced from that.)

Figure

Side

Angle sum

180°

2 × 180°

= (4 − 2) ×
180°

3 × 180°

= (5 − 2) ×
180°

4 × 180°

= (6 − 2) ×
180°

What can
you say about the angle sum of a convex polygon with number of sides?

(a) 7

(b) 8

(d) n