Find the angle measure x in the following figures. from Mathem

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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

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53.

Find the angle measure x in the following figures.




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                                          space space space space x plus 120 degree plus 130 degree plus 50 degree space equals space 360 degree


or                                             space space space x plus 300 degree space equals space 360 degree

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(a)     ∵    The sum of interior angles of a quadrilateral =

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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

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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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