Question

3. In the given figure, two parallel lines I and m
are intersected by two parallel lines p and g.
Show that ABC = CDA.
​

Answer 1

In △ABC and △CDA

∠BAC=∠DCA (Alternate interior angles, as p∥q)

AC=CA (Common)

∠BCA=∠DAC (Alternate interior angles, as l∥m)

∴△ABC≅△CDA (By ASA congruence rule)