Question

quadrilateral ABCD each side is extendeed AB = AD show ABCD is a kite

Answer 1

Answer:

hey mate :-

Step-by-step explanation:

Given

Quadrilateral's each side is extended

i.e, => AB = AD

To prove

That ABCD is a kite

proof ~ ∠BAD=110°

∠C=20°

∴∠BCD=20°(Vertically opposite angles).

∠CDA=180°-65°=115°

∠B=360-(∠A+∠D+∠C)

∠B=115°

Now in ΔACD and ΔACB

AC=AC (common)

AD=AB(given)

∠CDA=∠CBA(equal)

ΔACD≅ΔACB

CD=CB

AD=AB(adjacent sides are equal)

∠D=∠B(A pair of opposite angles equal)

∴ABCD is a kite .

Hope that helps ...!! = . =