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NCERT Class 8 Mathematics Solutions: Chapter 3 – Understanding Quadrilaterals Exercise 3.1 Part 5
Question: 5 What is a regular polygon? State the name of a regular polygon of:
(a) 3 sides
(b) 4 sides
(c) 6 sides
Answer:
A regular polygon: A polygon having all sides of equal length and all angles are equal is known as regular polygon.
(a) 3 sides:
Polygon having three sides is called a Triangle.
(b) 4 sides:
Polygon having four sides is called a Quadrilateral.
(c) 6 sides
Polygon having six sides is called a Hexagon.
Question: 6 Find the angle measures x in the following figures:
(a)
Image
(b)
Image
(c)
Image
(d)
Image
Answer:
(a) The figure is having 4 sides. Hence, it is a quadrilateral.
Using angle sum property of a quadrilateral,
Image:
(b) The figure is having 4 sides. Hence, it is a quadrilateral. Also, one side is perpendicular forming right angle.
Using angle sum property of a quadrilateral,
Image:
(c) The figure is having 5 sides. Hence, it is a pentagon.
Image:
First base interior angle
Second base interior angle
There are 5 sides,
(d) The figure is having 5 equal sides. Hence, it is a regular pentagon. Thus, it՚s all angles are equal.
Image:
Angle sum of a polygon
There are 5 sides,
Hence, each interior angle is