# Can all the angles of a quadrilateral be right angles? Give reason for your answer.

**Solution:**

If all the angles of a __quadrilateral__ is a right angle

90º + 90º + 90º + 90º = 360º

From the __angle sum property__ of a quadrilateral the sum of all angles is 360º

So the quadrilateral will be a __rectangle__ or a square.

Therefore, the angles can be right angles.

**✦ Try This: **In ∆ABC, AB = 2 cm, BC = 4 cm and CA = 6 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.

It is given that, in ∆ABC

AB = 2 cm

BC = 4 cm

CA = 6 cm

D and E are respectively the mid-points of AB and BC

We have to find the length of DE

Using the __mid-point theorem__

DE = 1/2 AC

Substituting the values

DE = 1/2 (6)

DE = 3 cm

Therefore, the length of DE is 3 cm.

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

**NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 12**

## Can all the angles of a quadrilateral be right angles? Give reason for your answer.

**Summary:**

Yes, all the angles of a quadrilateral can be right angles as the sum of all the angles will be 360º

**☛ Related Questions:**

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