Question

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

Answer 1

we know that

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

so

m∠VWX=$\frac{1}{2}(arc\ UY-arc\ VX)$

we have

m∠VWX=$43\°$

$UY=125\°$

substitute the values

$43\°=\frac{1}{2}(125\°-arc\ VX)$

$86\°=(125\°-arc\ VX)$

$arc\ VX=125\°-86\°=39\°$

therefore

the answer is

the measure of arc VX is $39\°$

Answer 2

Answer:

the answer is letter A

Step-by-step explanation: