Math, asked by myliferadhi, 6 hours ago

In figure , AB = AC and BE = DC ,prove that ∠BAE = ∠CAD​

Answers

Answered by sandeepPuri
0

Answer:

hhwhyyh

Step-by-step explanation:

In figure , AB = AC and BE = DC ,prove that ∠BAE = ∠CAD

Answered by sajeevcm67
0

Answer:

NEXT TIME ONWARD PLZ MEANTION THE FIGURE AS WELL .Well since u haven't mentioned the fig i assumed it to be a triangle

Step-by-step explanation:

n △ADB and △ADC, we have

AB=AC (given)

BD=DC (given)

AD=AD (common)

∴ △ADB≅△ADC [By SSS congruence property]

(i) ∠ADB=∠ADC (corresponding parts of the congruent triangles ) ...(1)

Now, ∠ADB+∠ADC=180° [∵∠ADB and ∠ADC are on the straight line]

⇒∠ADB+∠ADB=180 ° [from(1)]

⇒2∠ADB=180 °

⇒2∠ADB= 180°/2 =90 °

∴∠ADB=∠ADC=90 °[from (1)]

(ii) ∠BAD=∠CAD (∵ corresponding parts of the congruent triangles)

I hope it help you...

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