Question

PLEASE ANSWER THIS QUESTION ​

Answer 1

Answer:

AB =AC

Angle BAD=CAD (given)

AD=AD (common)

so they are congruent by SAS

yeas angle B=C

Answer 2

Step-by-step explanation:

Given:-

AB = AC

∠BAD = ∠CAD

(i) To find:- Three pairs of equal parts in ΔABD and ΔACD

Solution:-

In ΔABD and ΔACD

          AB = AC (∵ Given)

          ∠BAD = ∠CAD (∵ Given)

          AD = AD (∵ Common)

∴ ΔADB ≅ ΔADC, by SAS Congruency Rule

∴  By CPCT, BD = CD

∴ The three pairs of equal parts in ΔABD and ΔACD are as following:-

(a) AB = AC

(b) AD = AD

(c) BD = CD

(ii) To prove:- ΔADB ≅ ΔADC

Proof:-

In ΔABD and ΔACD

          AB = AC (∵ Given)

          ∠BAD = ∠CAD (∵ Given)

          AD = AD (∵ Common)

∴ ΔADB ≅ ΔADC, by SAS Congruency Rule

(iii) Yes, ∠B = ∠C

Since, ΔADB ≅ ΔADC

∴By CPCT, ∠B = ∠C