In ΔABC, D is a point on BC. If AB/AC = BD/DC, ∠B = 75ᵒ and ∠C = 45ᵒ, then ∠BAD is equal to:

In ΔABC, D is a point on BC. If AB/AC = BD/DC, ∠B = 75ᵒ…

In ΔABC, D is a point on BC. If AB/AC = BD/DC, ∠B = 75^o and ∠C = 45^o, then ∠BAD is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 30^o.

Understanding/Application

∠B = 75, ∠C = 45

In triangle ABC -

∠A + ∠B + ∠C = 180

∠A + 75 + 45 = 180

∠A = 60⁰

AB/AC = BD/DC

AD divides the side BC in the ratio of the other two sides so AD is the angular bisector of ∠A.

∠BAD = (∠A)/2

∠BAD = 60/2

∠BAD = 30⁰