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pic below

Use the diagram to answer the question.
B
A
C
2019 StrongMind. Created using GeoGebra
If ABCB is given, how can it be proved that m/A = mLC?
Draw a segment from B to a point D such that D is the midpoint of AC. Then, use the definition of isosceles triangles to show
mLA=mLC.
Draw a segment from B to a point D such that D is the midpoint of AC. Then, show that corresponding sides of new triangles
O ABD and CBD are congruent. Finally, use the Side-Side-Side Congruence Postulate and the definition
of congruent angles to
show
mLA=mLC.
Draw a segment from B to a point D such that D is the midpoint of AC. Then, use the Triangle Sum Theorem to show
mLA=mLC.
Draw a segment from B to a point D such that D is the midpoint of AC. Show that corresponding sides and the angle between
these sides of new triangles ABD and CBD are congruent. Finally,
use the Side-Angle-Side Congruence Postulate and the
definition of congruent angles to show mLA=mLC.