Question

$\huge\sf\pink{Question}$


D is a point on side BC of ΔABC such that ∠ABC > ∠ACB and AB > AD. Then, which of the following statement is always true?

A)∠ACB > ∠ADC
B)∠ABC > ∠AD
C)∠ACB < ∠ADC
D)∠ADB < ∠ABC​ ​

Answer 1

i think c is answer

hope it's helps you

Answer 2

In △ADC and △BAC

∠ADC=∠BAC (Given)

∠C is Common

∴ by AA Criterion of Similarity, △ADC ∼ △BAC⇒BA

AD

=

AC

DC

=

BC

AC

⇒

AC

DC

=

BC

AC

∴ CA

2

=CB.CD

hope it is helpful