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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

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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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Long Answer Type

53.

Find the angle measure x in the following figures.

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54.

(a) ∵ $space space space x plus 90 degree space equals space 180 degree$ (Linear pair)

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(∵ Sum of interior angles = exterior opposite angles)

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