angle bisector
angles bisector is the line that divides an angle into two congruent angles.
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The answer to that is a bisector. The two angles formed by this has the same angle.
Two angles that are congruent have the same angle measurement.
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
An angle bisector of a 90-degree angle is a line or ray that divides the 90-degree angle into two equal angles of 45 degrees each. It is a line that passes through the vertex of the angle and divides it into two congruent angles. In a right triangle, the angle bisector of the right angle will also bisect the opposite side, creating two smaller right triangles.
The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.