All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Solution:

From the question we know that

All the angles of a quadrilateral are equal

Consider the angle of the quadrilateral as x

As the sum of all angles of a quadrilateral is 360º

We can write it as

x + x + x + x = 360º

4x = 360º

Dividing both sides by 4

x = 360º/4

x = 90º

Therefore, the given quadrilateral is a rectangle.

✦ Try This: Can the angles 130º, 70º, 60º and 140º be the angles of a quadrilateral? Why or why not?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

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NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 5

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Summary:

All the angles of a quadrilateral are equal. The special name that can be given to this quadrilateral is a rectangle

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☛ Related Questions:

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• Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer
• In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC . . . .