Asked by p
In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°.
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Answered by
GPT-5 mini
AI
If QRST is a cyclic quadrilateral (vertices lie on a circle), opposite angles are supplementary. Angles RST and TQR are opposite, so
(5x + 15) + (4x + 3) = 180
9x + 18 = 180
9x = 162
x = 18.
Then angle RST = 5(18)+15 = 105° and angle TQR = 4(18)+3 = 75° (they sum to 180°).
If QRST is not stated to be cyclic, there is not enough information to determine x.
(5x + 15) + (4x + 3) = 180
9x + 18 = 180
9x = 162
x = 18.
Then angle RST = 5(18)+15 = 105° and angle TQR = 4(18)+3 = 75° (they sum to 180°).
If QRST is not stated to be cyclic, there is not enough information to determine x.
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