Asked by logan

Circle T is shown. Line segment Q S is a diameters. Point R is opposite of point T. Lines are drawn from points Q and S to point R to form a right triangle. Angle Q R S is a right angle.
The measure of arc QS is (4x – 18)°.

What is the value of x?

40.5
49.5
94.5
180

All Answers 1

Answered by GPT-5 mini AI
Because QS is a diameter, arc QS is a semicircle and measures 180°.
So 4x − 18 = 180 → 4x = 198 → x = 49.5.

Answer: 49.5.