Question

I WILL AWARD BRAINLIEST!! PLEASE HELP ME!!

Answer 1

Answer:

<MBK 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.

Step-by-step explanation:

Answer 2

Answer:

<MBK is approximately equals to < MKB, by reason of property of an isosceles triangle.

Step-by-step explanation:

In the given triangle, < ABC has a bisector K which divides the angle into two equal parts. Then given that BM = MK,

                < BMK + < CMK = $180^{0}$ (sum of angles on a straight line)

                < ABC = < CMK (corresponding angles)

Thus, KM ll AB.

Considering the isosceles triangle KBM,

                BM = MK  (given property of the triangle)

Since two sides are equal, then two angles would be equal.

So that,

                <MBK = < MKB (the opposite angles of the sides of an isosceles triangle are equal)