Question

prove that the sum of the angles of a quadrilateral is 360

Answer 1

Hii friend,
Here's your answer,
Quadrilayeral is having 4 sides.
Each vertex and two arms measures 90 degree.
4 vertex with their arms measure
90×4=360degree
Hope it's useful and helpful!!!
@#shakti37

Answer 2

$\sf{HELLO...!!!}$

Statement :

sum of the angles of quadrilateral is 360°

To Prove :

∠A + ∠B + ∠C + ∠D = 360°

Proof :

In ∆ ABC , m∠4 + m∠5+m∠6 = 180°

[ using angle a property of a triangle]

Also , in ∆ ADC , m∠1 + m∠2+m∠3= 180°

Sum of the measures of ∠A, ∠B , ∠C and ∠D of a quadrilateral

m∠4 + m∠5+ m∠6 + m∠1 + m∠2 +m∠3 = 180°+ 180°

→ ∠A + ∠B + ∠C + ∠D = 360°

Thus , sum of measure of four angles of quadrilateral is 360°.