Loading....
Coupon Accepted Successfully!

 

Angle Sum Property of a Quadrilateral

Let us recall the angle sum property of a quadrilateral.
 

Example : "The sum of the angles of a quadrilateral is 360° or 4 right angles."

 

Angle Sum Property of a Quadrilateral



Let ABCD be a quadrilateral and BD be a diagonal.
In Δ ADB, ADB + ABD + A = 180o                        -----(i)
and in Δ BDC, BDC + DBC + C = 180o                 -----(ii)
Adding (i) and (ii)
ADB + ABD + A + BDC + DBC + C = 180o + 180o = 360o
( ADB + BDC) + A + ( ABD + CBD) + C = 360o
A + B + C + D = 360o.
 




Test Your Skills Now!
Take a Quiz now
Reviewer Name