In the triangle, If AB = AC and ∠ABC = 72°, then ∠BAC is:
Answer & explanation
Correct answer: option 1
In a triangle ABC,
AB = AC
So, ABC is an isosceles triangle.
∠ABC = 72°
Equal sides of a triangle form equal corresponding angle.
⇒ ∠ABC = ∠ACB = 72°
In a triangle ABC,
∠ABC +∠ACB +∠BAC = 180°
72° + 72° +∠BAC = 180°
∠BAC = 36°