Question

The vertical angle of an isosceles triangle is three times of its base angle. Find all the angles.

Answer 1

A triangle ABC in which angle BAC is equal to the 3 times of angle ABC and BCA , as we know that if two side are equal then their opposite angle are equal then Angel ABC are equal to BCA .So if angle ABC are x then Angel ABC is 3x x+x+3x = 180° 5x = 180° x=180÷5= 36° angle BAC=36 ×3=108 angle BCA and ABC = 36°