NCERT Solutions for Class 5 Maths Angles and Polygons
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Angle
Two rays with a common end point form an angle. Point O is the common endpoint of OA and OB. The figure we get is angle AOB.
The common endpoint is known as the vertex of the angle. And both rays are the arms (sides) of the angle. The symbol of angle is <
Naming an Angle:An angle can be named in various ways. We can name an angle by using three letters of the English alphabet. For example, <PQR, <ABC, <XYZ, etc. the letter showing the vertex is always written in the middle. We can also name an angle by the vertex only. Example <B, <Y.
Angles can also be named by assigning a numeral to the angle. Example <1, <2, <3, etc.
Interior and Exterior of an angle
An Angle has two parts – interior and exterior.
The points lying inside the angle form the interior of the angle.
The points lying outside the angle form the exterior of the angle. In the given figure, points A and B are in the interior of <XYZ. Points R, S, and T are in the exterior of <XYZ.
Classification of angles
Angles are classified on the basis of their measure.
Acute Angle: An angle whose measure is more than 0 degree but less than 90 degree is called an acute angle. <ABC is an acute angle.
Right Angle: An angle whose measure is 90 degree is called a right angle.
Obtuse angle: An angle whose measure is greater than 90 degree but less than 180 degrees is called an obtuse angle. < RST is an obtuse angle.
Straight angle: An angle whose measure is 180 degree is called a straight angle.
Reflex angle: An angle whose measure is greater than 180 degree but less than 360 degree is called a reflex angle. < PQR is a reflex angle.
Complete angle: An angle whose measure is 360 degree is called a complete angle. M<DEF = 360 degree.
Polygons
A closed figure made up of 3 or more line segments that do not cross each other is called a polygon.
When you join three non-collinear points, a triangle is formed.
- A triangle is a polygon made up of 3-line segments.
- A quadrilateral is a polygon made up of 4-line segments.
- A square and a rectangle are examples of a quadrilateral.
- A pentagon is a polygon made up of 5 lie segments.
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