Answer:
Step-by-step explanation:
Given: ABCD is a parallelogram.
To prove: ∠A=∠C
Solution:
It is given that ABCd is a parallelogram, then
From ΔABD and ΔCDB, we have
AB=CD(Opposite sides of parallelogram are equal)
AD=CB (Opposite sides of parallelogram are equal)
BD=BD (Common)
Thus, by SSS rule of congruency,
ΔABD≅ΔCDB
Therefore, by CPCTC, we have
∠A=∠C
Hence proved.
