Question

Can someone plzzz helpppp!!!!

Answer 1

`m\angle SXW =113\degree`

Explanation:

In circle with center X, VS is diameter.

So
`\widehat {SWV}` is a semicircular arc.

`\therefore m\widehat{SWV} = 180\degree`

`\therefore (12x+7)\degree + (21x +8)\degree = 180\degree`

`\therefore (33x+15)\degree = 180\degree`

`\therefore 33x+15 = 180`

`\therefore 33x = 180-15`

`\therefore 33x = 165`

`\therefore x =(165)/(33)`

`\therefore x =5`

`m\angle SXW =m\widehat{SW}`

(Measure of central angle is equal to the measure of its corresponding minor arc)

`m\angle SXW =(21x + 8)\degree`

`m\angle SXW =(21* 5+ 8)\degree`

`m\angle SXW =(105+ 8)\degree`

`m\angle SXW =113\degree`