Question

prove that angle of quadrilateral add upto 360

Answer 1

Hey friend!!!

Here's your answer

Let ABCD is a quadrilateral.

The diagonal AC is drawn.

Now the quadrilateral ABCD is divided into 2 triangles ABC and ADC.

the sum of interior angles of triangles is 180°

So in ∆ABC

Angle ABC + ACB + CAB = 180°

Similarly for ∆ADC
angle ADC + ACD + CAD = 180°

Adding both the equations

ABC + BCD + CDA + DAB = 180+180 = 360°

(Draw a diagram for better reference)

HOPE THAT HELPS..... ☺️