The corollary comes out through expression is m∡JXN = m∡MXK this
are opposite angles because line JK and Mn intersect each other .
What is angle?
The angle can be defined as the one line inclined over other line.
As per the question,
Line MN and JK intersect each other and XY is the angle bisector.
so,
∡MXY = ∡KXY
∡KXY = ∡NXY
∡JXM = ∡NXK
Therefore, m∡JXN = m∡MXK also equal which is opposite angles.
Learn more about Angles here:
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