Question

In the diagram of circle C, m∠VWX is 43°. What is m?

39°
41°
78°
82°

Answer 1

A on edg 2021

Explanation:

Answer 2

we know that

The measurement of the external angle is the semi-difference of the arcs it comprises.

so

in this problem

m∠VWX=
`(1)/(2) (arc\ UY-arc\ VX)`

we have

m∠VWX=
`43\°`

`arc\ UY=125\°`

Substitute and solve for arc VX

`43\°=(1)/(2)*(125\°-arc\ VX)`

`86\°=(125\°-arc\ VX)`

`arc\ VX=125\°-86\°=39\°`

therefore

the answer is

the measure of arc VX is
`39\°`