Question

What is the measure of wx shown in the diagram below

Answer 1

`\mathtt{(93-x)/(2)=34}\\\mathtt{93-68=x=25}`

Answer 2

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 =
`(Major \ Arc\ - Minor \ Arc)/(2)`

Plugging values in above formula, we get

`34=(93-x)/(2)`

On cross multiplication, we get

34 × 2 = 93-x

68 = 93 -x

x = 93-68

x= 25.

Therefore, measure of arc WX = 25°.