Question

What is the measure of minor arc DE ?

Answer 1

It would be 70° because it needs to add up to 360.

Answer 2

Answer:

$\widehat{DE}=70^{\circ}$

Step-by-step explanation:  

We have been given a circle. We are asked to find measure of minor arc DE.

We know that the circumference of circle is equal to 360 degrees. We can set an equation using our given information.

$\widehat{AB}+\widehat{BC}+\widehat{CD}+\widehat{DE}+\widehat{EF}+\widehat{FA}=360^{\circ}$

$20^{\circ}+30^{\circ}+40^{\circ}+\widehat{DE}+110^{\circ}+90^{\circ}=360^{\circ}$

$\widehat{DE}+290^{\circ}=360^{\circ}$

$\widehat{DE}+290^{\circ}-290^{\circ}=360^{\circ}-290^{\circ}$

$\widehat{DE}=70^{\circ}$

Therefore, measure of minor arc DE is 70 degrees.