Take a regular hexagon as shown in the figures:What is the measu

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 Multiple Choice QuestionsShort Answer Type

51.

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°

= (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

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52.

What is a regular polygon?

State the name of a regular polygon of

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

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 Multiple Choice QuestionsLong Answer Type

53.

Find the angle measure x in the following figures.



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54.
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 Multiple Choice QuestionsShort Answer Type

55.

Find the measure of x in the figure.

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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?

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57.

Take a regular hexagon as shown in the figures:



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

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58.

Take a regular hexagon as shown in the figures:


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

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59.

Take a regular hexagon as shown in the figures:


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


  Exterior angle = space 60 degree

  space space 180 degree minus 60 degree = Interior angle

or      space space space space space space 120 degree = Interior angle
or  Measure of interior angle = space space space space space space space space 120 degree

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60.

Take a regular hexagon as shown in the figures:


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

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