Question

In triangle ABC, if AB=AC and /_B=75°, then /_A is​

Answer 1

Answer:

In triangle ABC,

AB=AC

so, angle ABC=angleACB=75°

sum of the three angles of triangle ABC=180°

so angle A={180-(75+75)}°=(180-150)°=30°

Answer 2

Answer:

52.5

Step-by-step explanation:

In triangle ABC, if AB=AC then ∠A = ∠B

If ∠A = ∠B = x

  in a triangle ∠A + ∠B + ∠C = 180°

                 ∴   x + x + 75° = 180°

                          2x + 75° = 180°

                                  2x  = 180° - 75°

                                  2x  = 105°

                                    x  = 105° ÷ 2

                                    x  = 52.5