The measure of angle ABC is 114°
An equilateral triangle is a type of triangle in which three sides are equal and the three corresponding angles are equal.
An isosceles triangle is a type of triangle in which two sides are equal and their corresponding are equal.
Each angle in an equilateral triangle is 60°
angle ABD = 180 - (63 + 63)
= 180 - 126
= 54°
angle ABC = ABD + BCD
= 54 + 60
= 114°
Therefore, the measure of angle ABC is 114°