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Answer :
Angle QPS and angle RTS are congruent, both measuring 136°. Additionally, since OQ and RT are parallel, angle PSQ and angle RTS are alternate interior angles and are also congruent.
If OQ and RT are parallel lines and m QPS = 136°, we can use the property that when a transversal intersects two parallel lines, the corresponding angles are congruent.
Therefore, angle QPS and angle RTS are congruent, both measuring 136°. Additionally, since OQ and RT are parallel, angle PSQ and angle RTS are alternate interior angles and are also congruent.
Hence, angle PSQ measures 136° as well. In summary, angles QPS, PSQ, and RTS all have a measure of 136°.
This is because when two lines are parallel and intersected by a transversal, the corresponding angles and alternate interior angles are congruent.
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The complete question is given below:
If OQ and RT are parallel lines and m QPS = 136°
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