Question

if AB=AC and angle ACD=105 degree, find angle BAC

Answer 1

AB=AC then it is an isosceles triangle then it will be 75॰

Answer 2

let's take X as angle BAC , 1 as angle ABC and 2 as angle ACB.

so angle 2 = 180° - 105° = 75°

so as the line AB = AC

so angle 1 = angle 2 = 75°

as we know that the sum of all interior angles is 180°

so angle 1 + angle2 + angle X = 180°

so X = 180 - (75 + 75)

X = 180 - 150

X= 30°