Question

....need help on this ​

Answer 1

ASA statement

Explanation:

In quadrilateral ABCD, diagonal AC bisects
`\angle BAD` and
`\angle BCD` (given)

Next

`In\: \triangle ABC \: and \: \triangle ADC`

`\angle CAB\cong\angle CAD`

(By angle bisector property)

`AC\cong AC.... (common\: side)`

`\angle ACB\cong\angle ACD`

(By angle bisector property)

`\therefore \triangle ABC \cong \triangle ADC`

(By ASA Statement)