**7. **

(b) Find

Here you will find the detailed solution of the above-written question,
Sum of all angles of quadrilateral =
Let the unmarked angle be A.
=
=

**Q7.**

** **

(a) Find

**Q6. **Find the angle measure in the following figures.

**Q 6 **Find the angle measure in the following figures.

**Q6. **Find the angle measure in the following figures.

The Solution for the above-written question is mentioned below,
Sum of angles of a quadrilateral

**Q6. **Find the angle measure in the following figures.

The solution for the above-written question is mentioned below,
Sum of angles of a quadrilateral

**Q5. **What is a regular polygon?

State the name of a regular polygon of

(iii) 6 sides

A regular polygon is a polygon which have equal sides and equal angles.
The name of a regular polygon of 6 sides is a hexagon.
All angles of the hexagon are each.

**Q5. **What is a regular polygon?

State the name of a regular polygon of

(ii) 4 sides

A regular polygon is a polygon which has equal sides and equal angles.
The name of a regular polygon of 4 sides is square.
Square has all angles of and all sides are equal.

**Q5. **What is a regular polygon?

State the name of a regular polygon of

(i) 3 sides

A regular polygon is a polygon which has equal sides and equal angles.
The name of a regular polygon of 3 sides is an equilateral triangle.
All sides of the equilateral triangle are equal and angles are also equal.
Each angle =

**Q4. **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?

(d)

(d)
All the angles of a convex polygon added up to
the sum of the angles of a convex polygon having n sides

**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?

(c) 10

(c) 10
angle sum of a convex polygon
angle sum of a convex polygon with 10 sides
angle sum of a convex polygon with 10 sides
angle sum of a convex polygon with 10 sides

**Q4. **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 the number of sides?

(b) 8

(b) 8
sum of the angles of a convex polygon
sum of the angles of a convex polygon with 8 sides
sum of the angles of a convex polygon with 8 sides
sum of the angles of a convex polygon with 8 sides

**Q4. **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

(a) 7
the sum of angles of a convex polygon
the sum of angle of a convex polygon with 7 sides
the sum of angles of a convex polygon with 7 sides
the sum of angles of a convex polygon with 7 sides

**Q3. **What is the sum of the measures of the angles of a convex quadrilateral? Will this property

hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

The sum of the measures of the angles of a convex quadrilateral is .A convex quadrilateral is made of two triangles and sum of angles of a triangle is .Hence,sum of angles of two triangles is which is also sum of angles of a quadrilateral.
Here,as we can see this quadrilateral has two triangles and sum of angles of these triangles is = sum of all angles of a quadrilateral.

**Q2. **How many diagonals does each of the following have?

(c) A triangle

(c) A triangle
A triangle does not have any diagonal.

**Q2. **How many diagonals does each of the following have?

(b) A regular hexagon

(b) A regular hexagon :
Total number of diagonal a regular hexagon have are 9 .

**Q2. **How many diagonals does each of the following have?

(a) A convex quadrilateral

(a) A convex quadrilateral :
There are 2 diagonals in a convex quadrilateral.

**Q1. **Given here are some figures.

Classify each of them on the basis of the following.

(e) Concave polygon

(e) Concave polygon : Concave polygon have one or more interior angles greater than .
Concave polygon = 1.

**Q1. **Given here are some figures.

Classify each of them on the basis of the following.

(d) Convex polygon

(d) Convex polygon :Convex polygon are polygons having all interior angles less than .
Convex polygon = 2.

**Q1. **Given here are some figures.

Classify each of them on the basis of the following.

(c) Polygon

A normally closed curve made up of more than 4 line segments is called a polygon.
Some polygons are shown in figures

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