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  • Brainly User
2015-10-07T20:10:26+08:00

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Intersecting chords or secants theorem:
m∠PTR = 1/2 (arc PR + arc QS)
m∠PTR = 45° + 49°
                    2
m∠PTR = 94°/2
m∠PTR = 47°

∠PTR and ∠RTS are supplementary angles:
∠PTR + ∠RTS = 180°

180° - 47° = ∠RTS
∠RTS = 133°

From Vertical Angles Theorem where non-adjacent angles formed by two intersecting lines are congruent, we can conclude that the other  angles' measurements are:

∠PTR = ∠QTS
∠QTS = 47°

∠RTS = ∠PTQ
∠PTQ = 133°



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Thank You So Much
Please keep this solution, and the one I solved earlier as your guide. So you can solve similar problems.
okie thanks.