Question

4. Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) Figure Side 3 4 5 6 Angle sum 180° 2 x 180° 3x180° 4x 180° = (4-2) x 180º = (5-2) x 180° = (6-2) x 180°​

Answer 1

Answer:

The sum of angles of a convex polygon is (n-2)✖ 180

So, The sum of angles of a convex polygon

(i) with 7 sides

n=7

(7-2) 180

=5(180)

=900°.

the angle sum of a convex polygon with 7 sides is 900

2) with 8 sides

n=8

(8-2) 180

=6(180)

=1080°

the angle sum of a convex polygon with 8 sides is 1080°

3) with 10 sides

n=10

(10-2) 180

=8(180)

=1440°

the angle sum of a convex polygon with 10 sides is 1440.

4) n sides.

The angle sum of a convex polygon with n sides is n-2(180)