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Answer:
As per ASA postulate, the two triangles are congruent.
Step-by-step explanation:
We are given two triangles:
and
.
AD bisects BE.
AB || DE.
Let us have a look at two properties.
1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.
i.e. AB || ED and and
are alternate angles
.
2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.
Also, it is given that <em>AD bisects BE</em>.
i.e. EC = CB
1.
2. EC = CB
3.
So, we can in see that in and
, two angles are equal and side between them is also equal to each other.
Hence, proved that
.