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deff fn [24]
4 years ago
14

What is the measure of minor arc DE ?

Mathematics
2 answers:
Sonja [21]4 years ago
8 0
It would be 70° because it needs to add up to 360.
BartSMP [9]4 years ago
6 0

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.

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