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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