Question

In A ABC if 2A, 2B and C are in the ratio 4:
3 and the side BC is produced as shown, then find LACD.
A
ol
B В​

Answer 1

Answer:

Given: AB=AC, ∠ACD=130

∠ACD+∠ACB=180 (Linear pair)

130+∠ACB=180

∠ACB=50

∘

Now, In △ABC,

∠ABC=∠ACB=50 (Isosceles triangle property)

Sum of angles = 180

∠ABC+∠ACB+∠BAC=180

50+50+∠BAC=180

∠BAC=80

∘