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A line segment BK is an angle bisector of ΔABC. A line KM intersects side BC such, that
BM = MK. m∠MBK≅m∠_____ by reason_______

Respuesta :

bob3141
<mkb because of the isosceles triangle theorem. If two sides of a triangle are congruent, it is isosceles, so the angles opposite them are also congruent. 
Hope this helps!

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. [tex]m∠MBK≅m∠_BKM____[/tex]

The isosceles triangle theorem states that  If two sides of a triangle are congruent, then angles opposite those sides are congruent.

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