In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:
Answer & explanation
Correct answer: option 3
According to the question,
AB = BC
Hence, ∠A=∠C
and ∠B = 70°
By angle sum property of triangle we know:
∠A+∠B+∠C = 180°
2∠A+∠B=180°
2∠A = 180-∠B = 180-70 = 110°
∠A = \(\frac{ 110}{ 2}\)
∠A = 55°