Question

-convex quadrilateral and tryl)
4 Examine the table. (Each figure is divided into triangles and the sum of the angles
doduced from that.)
Figure
3
Side
5
Angle sum
180°
2x 180°
3 x 180
4 x 180
2x 180 = (52) x 180g (62)x 180​

Answer 1

Step-by-step explanation:

In the figure, Sum of angles= (n-2) x 180

Using the formula, (n-2) x 180 (given)

=(3-2) x 180

Therefore, 1 x 180= 180 degrees.

(ii): In the figure, Sum of angles= (n-2) x 180

Using the formula, (n-2) x 180 (given)

=(4-2) x 180

Therefore, 2 x 180= 360 degrees.

(iii): In the figure, Sum of angles= (n-2) x 180

Using the formula, (n-2) x 180 (given)

=(5-2) x 180

Therefore, 3 x 180= 540 degrees.

(iv): In the figure, Sum of angles= (n-2) x 180

Using the formula, (n-2) x 180 (given)

=(8-2) x 180

Therefore, 6 x 180= 720 degrees.

Part-2

(a): n=7

using formula.

=(7-2) x 180

=5 x 180

= 900 degrees.

(b): n=8

using formula.

=(8-2) x 180

=6 x 180

= 1080 degrees.

(c): n=10

using formula,

=(10-2) x 180

=8 x 180

=1440 degrees.

(d): n=n

using formula,

=(n-2) x 180

=180n - 360

=180 x (n-2)