Question

Check whether $△ABC\cong △DEF$.Give Reason
In$△ABC:AB=6cm,\angle B={50}^{\circ }$ and $\angle C={90}^{\circ }$
In $△DEF:DE=6cm,\angle E={50}^{\circ },\angle F={90}^{\circ }$.

Answer 1

REF.Image

As sum of angles in a triangle is ${180}^{\circ }$

$\Rightarrow \angle A={40}^{\circ },\angle D={40}^{\circ }$

$\Rightarrow \angle A=\angle D,AB=DE,\angle B=\angle E$

$\Rightarrow$ By ASA congruent, triangles are congruent