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Points R, P, and S lie above line segment in the relative order given. Line segment is perpendicular to line segment at the point Q. Hence, Point R lies to the left of and point S lies to its right. The segment bisects ∠RPS and . The measure of ∠PQS = 35°. What is the measure of ∠RQM?

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Points <em>R, P</em>, and <em>S</em> lie above line segment <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-01.jpg'/> in the relative order given. Line segment <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-02.jpg'/> is perpendicular to line segment <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-01.jpg'/> at the point <em>Q</em>. Hence, Point <em>R</em> lies to the left of <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-02.jpg'/> and point <em>S</em> lies to its right. The segment <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-02.jpg'/> bisects ∠<em>RPS</em> and <img alt='Images' src='https://www.fatskills.com/images3/gmat/c0197-03.jpg'/>. The measure of ∠<em>PQS</em> = 35°. What is the measure of ∠<em>RQM</em>?






 
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