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Step-by-step explanation:
Given,
AC=DE
AB = EF
<ABC=<DFE
Consider triangle ABC and TRIANGLE DFE
AE=de
ab=ef
angle ABC=angle DFE
So, by RHS rule triangle ABC CONGRUENT To TRIANGLE DFE.
- ANGLE ACB =ANGLE CDE(cpct )
- Thus, AC ||DE(alternate interior angles of ab and de are equal
- angle ABC=angle BFE =90
180-angle ABC=angle ABD(linear pair )
180-90=angle ABD
- Angle ABD =90
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