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Math Question

Carly wants to prove that the opposite angles of a parallelogram are congruent. To start her proof, she draws parallelogram \( R S T U \). Complete the proof that the opposite angles of RSTU are congruent. Since RSTU is a parallelogram, \( R U \| \) ST. By the \( \nabla \) are supplementary. Also, since \( \quad \nabla, \angle R \) is supplementary to \( \angle U \) and Since \( \angle U \) and \( \angle S \) are both supplementary to \( \angle R, \angle U \cong \angle S \) by the \( - \) Similarly, since \( \angle R \) and \( \angle T \) are both supplementary to \( \angle S_{r} \) \( \nabla \). So, the opposite angles of parallelogram \( R S T U \) are congruent.

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