In the diagram of circle c, m∠vwx is 43°. what is m? 39° 41° 78° 82°


Asked by wiki @ in Mathematics viewed by 558 People


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

Answered by wiki @


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\°

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