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

`\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.