Question

anyone plz send full solution​

Answer 1

We have,

Quadrilateral FACT = ||gm

1) {Keep in mind that diagonal of a ||gm divides it into two congruent triangles}

In △FAT and △CTA,

1. FA = CT (∵ opposite sides of a ||gm)
2. FT = CA ( " )
3. TA = TA (Common).

∴ △FAT ≅ △CTA by S-S-S Congruence criteria.

2) By c.p.c.t.,

∠ATF ≅ ∠TAC. HENCE, PROVED.