Question

-To verify that the sum of angles is
Quadrilateral is 360.​

Answer 1

Answer:

this is easy bro,keep reading

Step-by-step explanation:

• 1st draw a quadrilateral and split it into two triangles
• as we know that the sum of angles of a triangle is 180°,so 2x180=360,hence we can prove this argument by proving that sum of angles of a triangle is 180

Answer 2

Step-by-step explanation:

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°

the sum of the quadrilateral is 360°

✡More Info :✡

Sum of angles in a triangle is 180°

Sum of angles in a quadrilateral is 360°

Sum of angles in a straight line is 180°