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Understanding Quadrilaterals

Question

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Find the angle measure x in the following figures.

Solution

Some More Questions From Understanding Quadrilaterals Chapter

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?

(a) 7 (b) 8 (c) 10 (d) n

What is a regular polygon?
State the name of a regular polygon of

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

Find the angle measure x in the following figures.

Find x in the following figures.

Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

How many sides does a regular polygon have if each of its interior angles is 165°?

Question 5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?

(b) Can it be an interior angle of a regular polygon? Why?

(a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?

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