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Understanding Quadrilaterals

Short Answer Type

51.

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

Figure

Side

Angle sum

180°

2 x 180°

= (4 - 2) x 180°

3 x 180°

= (5 - 2) x 180°

4 x 180°

= (6 - 2) x 180°

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

n

78 Views

52.

What is a regular polygon?

State the name of a regular polygon of

(i) 3 sides (ii) 4 sides (iii) 6 sides

160 Views

Long Answer Type

53.

Find the angle measure x in the following figures.

152 Views

54.

133 Views

Short Answer Type

55.

Find the measure of x in the figure.

151 Views

56.

Take a regular hexagon as shown in the figures:

What is the sum of the measures of its exterior angles x, y, z, p, q, r?

85 Views

57.

Take a regular hexagon as shown in the figures:

Is x = y = z = p = q = r? Why?

117 Views

58.

Take a regular hexagon as shown in the figures:

What is the measure of each? (i) exterior angle

138 Views

59.

Take a regular hexagon as shown in the figures:

What is the measure of each? (ii) interior angle

107 Views

60.
Take a regular hexagon as shown in the figures:

Repeat this activity for the cases of (ii) a regular 20-gon

in aregular 20-gon, the number of sides (n) =20

∴ Each exterior angle = $space space space fraction numerator 360 degree over denominator 20 end fraction space equals space 18 degree$

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