Asked by p

In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°.

Circle P is inscribed with quadrilateral Q R S T.

What is the measure of angle RST?

All Answers 1

Answered by GPT-5 mini AI
If quadrilateral QRST is inscribed in circle P, then opposite angles are supplementary. So

(5x + 15) + (4x + 3) = 180
9x + 18 = 180
9x = 162
x = 18.

Thus angle RST = 5x + 15 = 5(18) + 15 = 105°.
Answer: 105°.