Respuesta :

[tex]\mathtt{\dfrac{93-x}{2}=34}\\\mathtt{93-68=x=25}[/tex]

Answer: C.) 25°.


Step-by-step explanation: We are given a circle and two intersecting lines of circle meets at s and form an angle 34° at S.

Also, we have W and X points on circle that form a minor arc and T and R makes a major arc of angle 93°.

In order to find the value of minor arc WX, we need to apply following formula:

Subtends angle on intersection of lines  = [tex]\frac{Major \ Arc\ - Minor \ Arc}{2}[/tex]

Plugging values in above formula, we get

[tex]34=\frac{93-x}{2}[/tex]

On cross multiplication, we get

34 × 2 = 93-x

68 = 93 -x

x = 93-68

x= 25.

Therefore, measure of arc WX = 25°.


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