Question

In the diagram of circle C, m∠VWX is 43°. What is m? 39° 41° 78° 82°

Answer 1

I believe the answer is 39 but correct me if im wrong

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=$\frac{1}{2} (arc\ UY-arc\ VX)$

we have

m∠VWX=$43\°$

$arc\ UY=125\°$

Substitute and solve for arc VX

$43\°=\frac{1}{2}*(125\°-arc\ VX)$

$86\°=(125\°-arc\ VX)$

$arc\ VX=125\°-86\°=39\°$

therefore

the answer is

the measure of arc VX is $39\°$