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Answer :

The sum of measures of the angles of a convex quadrilateral is \(\360^{\circ}\) because it is made up of two triangles and the sum of internal angle of convex quadrilateral is equal to the sum of interior angles of two triangles i.e, \(\360^{\circ}\).Yes, this property holds in case if the quadrilateral is not convex.

- 1. Given here are some figures : Classify each of them on the basis of the following : (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon
- 2.How many diagonals does each of the following have? (a) A convex quadrilateral (b) A regular hexagon (c) A triangle.
- 4. Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides? (a) 7 (b) 8 (c) 10 (d) n
- 5.What is a regular polygon? State the name of a regular polygon of (i) 3 slides (ii) 4 slides (iii) 6 slides
- 6.Find the angle measure x in the following figures.
- 7. (a) Find x + y + z (b) Find x + y + z + w

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