Question : If $\triangle{PQR} \cong \triangle{STR}, \angle {Q}=50^{\circ}$ and $\angle {P}=70^{\circ}$ and ${PQ}$ is $8 {~cm}$. Which of the following options is NOT correct?
Option 1: $\angle {TSR}=80^{\circ}$
Option 2: $\angle {PRT}=60^{\circ}$
Option 3: ${PR}={RS}$
Option 4: ${TR}={RQ}$
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Correct Answer: $\angle {TSR}=80^{\circ}$
Solution :
Given, $\triangle{PQR} \cong \triangle{STR},$
$\angle {Q}=50^{\circ}$ and $\angle {P}=70^{\circ}$ and ${PQ}$ is $8 {~cm}$
If $\triangle{PQR} \cong \triangle{STR}$, $\angle P$ will be equal to $\angle S$
⇒ $\angle TSR = 70° \neq80°$
Hence, the correct answer is $\angle {TSR}=80^{\circ}$.
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