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Answer:
It is given that:
ABCD is a parallelogram with diagonal line BD.
To prove that:
Properties of parallelogram:
• Opposite sides are parallel
• Opposite sides are congruent
• Opposite angles are congruent
• Diagonal bisects each other.
In and
By definition of parallelogram;
Alternative interior angle theorem says that if the two parallel lines are cut by transversal, then the pairs of alternative interior angles are congruent.
by alternative interior angle theorem;
By reflexive property:
ASA(Angles sides Angle) postulates states that if two angles and the included side of one triangle to corresponding parts of the another triangle, then the triangles are congruent.
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