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The measure of arc QT in the intersecting chords QS and RT is determined as 142⁰.
How to calculate the measure of angle QT?
The value of arc QT is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
arc QT = 2 x m∠QST
From the diagram, we have, m∠QST = 71⁰
The value of arc QT is calculated as follows;
arc QT = 2 x m∠QST
arc QT = 2 x 71⁰
arc QT = 142⁰
Thus, we can conclude that the measure of arc QT in the intersecting chords QS and RT is determined as 142⁰.
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