Question

in a quadrilateral ABCD if angle C is equals to angle b + D and ab is equals to AC then prove that AC is equals to AD​

Answer 1

its proved that , in a quadrilateral ABCD if ∠C = ∠B + ∠D and AB = AC then  AC = AD​

Step-by-step explanation:

∠ C = ∠B  + ∠D

if we join AC then

∠ C  = ∠ACD  + ∠ ACB

now in Δ ABC

AC = AB

=> ∠ACB = ∠B

=> ∠ C  = ∠ACD  + ∠B

while ∠ C = ∠B  + ∠D

=> ∠D  = ∠ACD

in Δ ACD

∠D  = ∠ACD

=> AD = AC

QED

Proved

its proved that , in a quadrilateral ABCD if ∠C = ∠B + ∠D and AB = AC then  AC = AD​

Answer 2

Answer:

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