Question

in triangles abc and pqr and a=q and b=r. which side of pqr should be equal to side bc of abc so that the two triangles are congurent give reasons​

Answer 1

Answer:

when two angles of ∆ABC and ∆PQR are equal then third angle of ∆ABC automatically equal to third angle of other ∆PQR

$\triangle ABC \cong \triangle PQR \:\:\bold{(By\:ASA)}$

Step-by-step explanation:

$\pink{\ggg}\red{\underline{Question:-}}$

In triangles ABC and PQR and ∠a = ∠q  and ∠b=∠r. which side of PQR should be equal to side BC of ABC so that the two triangles are congruent give reasons​.

$\pink{\ggg}\red{\underline{Solution:-}}$

$In\: \:\triangle ABC \:\:and\:\:\triangle PQR$

$\angle A =\angle Q$

$\angle B = \angle R$

$\Rightarrow \angle C = \angle P$

(when two angles of ∆ABC and ∆PQR are equal then third angle of ∆ABC automatically equal to third angle of other ∆PQR)

$PR = BC$

$\Rightarrow \triangle ABC \cong \triangle PQR \:\:\bold{(By\:ASA)}$