Question

In $△ABC$ and $△PQR$, $BC=QR,\angle A={90}^{\circ },\angle C=\angle R={40}^{\circ }and\angle Q={50}^{\circ }.$
Above two triangles are congruent by ASA test
If true then enter $1$ else if False enter $0.$

Answer 1

In $△PQR$
$\angle P+\angle Q+\angle R=180$
$\angle P+40+50=180$
$\angle P=90$

Now, in $△$s, $ABC$ and $PQR,$
$BC=QR$ (Given)
$\angle A=\angle P={90}^{\circ }$
$\angle C=\angle R={40}^{\circ }$ (Given)
Thus, $△ABC\cong △PQR$ (ASA postulate)

The given statement is true.