Question

Please help with my triangle proofs.

Answer 1

Explanation:

I will be using < for angles

<BDE =~ <CDE

BD =~ CD

<ADE = 180 - <BDE

<ADC = 180 - <EDC

Therefore, <ADC = <ADE

In ∆ADE and ∆ ADC,

<ADC = <ADE

BD=CD

AD=AD(Common side)

therefore,

∆ADE =~ ∆ADC(S.A.S)

So,

<ABD =~ <ACD(coresponding angles)