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QUESTION IMAGE

which pair of angles is also congruent? (\boldsymbol{angle tqp}) and (\…

Question

which pair of angles is also congruent?
(\boldsymbol{angle tqp}) and (\boldsymbol{angle tsr})
(\boldsymbol{angle tqp}) and (\boldsymbol{angle tpr})
(\boldsymbol{angle t s}) and (\boldsymbol{angle tsr})

Explanation:

Brief Explanations

To determine the congruent angles, we analyze the diagram (assuming lines \( l \) and \( m \) are parallel, and \( TQ \) and \( TP \) are transversals). \( \angle TQP \) and \( \angle TSR \) are corresponding angles (or alternate interior angles) if the lines are parallel, making them congruent. Other options: \( \angle TQP \) and \( \angle TPR \) don't have a clear congruence relation, and \( \angle TTS \) (likely a typo) and \( \angle TSR \) also don't fit. So the correct pair is \( \angle TQP \) and \( \angle TSR \).

Answer:

\(\boldsymbol{\angle TQP}\) and \(\boldsymbol{\angle TSR}\) (the first option, e.g., A. \(\angle TQP\) and \(\angle TSR\) if options are labeled A, B, C)