Question

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To find the measure of BAC if =ABC has AB = AC and ACD = 105.​

Answer 1

Answer:

30° is the answer............

Answer 2

Given :- ∠ACD = 105°

AB = AC

To find :- ∠BAC

Proof :- AB = AC (Given)

∴ ∠B = ∠C

∠B = 180° - 105°

= 75°

Similarly, ∠C = 180° - 105°

= 75°

Now, ∠A + ∠B + ∠C = 180°

∠A + 75° + 75° = 180°

∠A + 150° = 180°

∠A = 180° - 150°

∠A = 30°

Therefore, ∠BAC = 30°

hope it helps ☺️