Question

The sum of all angles of a quadrilateral is 360degree

Answer 1

I hope this will help you dear..

Always stay safe and stay healthy..

Answer 2

Step-by-step explanation:

SOLUTION

Let ABCD be a quadrilateral. Join the points A and C.

The sum of all the angles of a triangle is 180°

So,

In ΔABC,

BAC + B + ACB = 180° ...(1)

Similarly, in ΔACD,

CAD + ACD + D = 180° ...(2)

Adding (1) and (2), we get

BAC + B + ACB + CAD + ACD + D = 180° + 180°

= 360°

Hence,

the sum of the four angles of a quadrilateral is 360°