Question

Look at the given figure and prove the following:

a)∆ABD is congurent to ∆CBD
b) angle A= angle C​

Answer 1

Step-by-step explanation:

a) In ΔABD and ΔCBD

AD is parallel to BC and BD is transversal

Angle ADB= Angle CBD (A. I. A)

Angle ABD= Angle CDB (A. I. A)

BD = DB (Common)

So, ΔABD is congruent to ΔCBD (by A.S.A)

Angle A = Angle C (by C. P. C. T)