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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?

Respuesta :

Answer:49.5

Step-by-step explanation:

The value of x of the given cyclic segment is; 49.5°

How to find the angle of an arc?

We are given the measure of the angle of  arc QS as (4x – 18)°

Now, this angle is to be equal to 180°.

Thus;

(4x – 18)° = 180°

4x - 18 = 180

4x = 180 + 18

4x = 198

x = 198/4

x = 49.5°

Read more about arc angle at; https://brainly.com/question/2005046

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