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Question
select the correct answer from each drop - down menu. consider the circle with chords pr and qs intersecting at point t. describe the relationship of the given segments. then use the information to answer the following questions. the segments can be related using the equation (pt)(tr)=(st)(tq). using this relationship, the value of a is 6. find the measure of ∠pts by multiplying the sum of arc by 1/2. pq and rs ps and rq pr and qs next
Step1: Recall the theorem for intersecting chords
When two chords \(PR\) and \(QS\) intersect at a point \(T\) inside a circle, the measure of an angle formed (\(\angle PTS\)) is half the sum of the measures of the intercepted arcs. The intercepted arcs for \(\angle PTS\) are arc \(PQ\) and arc \(RS\).
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PQ and RS