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It is to bisect the angle into two equal angles.
Supplementary angles!
A triangle with no equal sides and no equal angles is called a scalene triangle. In contrast, a triangle with equal sides and equal angles is called an equilateral triangle. A triangle with two equal sides and two equal angles is an isosceles triangle.
Two angles that aren't adjacent but are formed by intersecting lines are called vertical angles. Their angle measures are always equal.
An isosceles triangle has two equal angles.