Maharashtra BoardEnglish MediumSTD 7MathsCongruence3 Marks
Question
In Figure, $\angle\text{POQ}\cong\angle\text{ROS}$, can we say that $\angle\text{POR}\cong\angle\text{QOS}$
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Answer
We have, $\angle\text{POQ}\cong\angle\text{ROS}\ ...(\text{i})$ Also, $\angle\text{ROQ}\cong\angle\text{ROQ}$ (same angle) Therefore, adding $\angle\text{ROQ}$ to both sides of (i), we get: $\angle\text{POQ}+\angle\text{ROQ}\cong\angle\text{ROQ}+\angle\text{ROS}$ $\therefore\angle\text{ROQ}\cong\angle\text{ROQ}$ Hence proved.
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