The value of x such that arc QS subtends an angle of (4x – 18)° is 49.5°.
Since QS is the diameter.
What is the diameter?
The diameter is the largest chord of a circle. It subtends an angle of 180° on the center.
So, the angle subtended by the arc QS on the center of the circle =180°
4x-18 = 180°
4x =198°
x= 49.5°
Therefore, The value of x such that arc QS subtends an angle of
(4x – 18)° is 49.5°.
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