Answer:
Step-by-step explanation:
Given that a line segment BK is an angle bisector of triangle ABC.
When the line KM intersects BC such that BM=MK
we find an isosceles triangle BMK with two sides equal
Hence by isosceles triangles theorem, two angles opposite equal sides would be equal
i.e. ![m∠MBK≅m∠_BKM____](https://tex.z-dn.net/?f=m%E2%88%A0MBK%E2%89%85m%E2%88%A0_BKM____)
The isosceles triangle theorem states that If two sides of a triangle are congruent, then angles opposite those sides are congruent.