Question

Which is the measure of minor arc DE? A. 60° B. 70° C. 80° D. 90°

Answer 1

Answer:

C

Step-by-step explanation:

The total of the arc measures is 360

DE is the only one that hasn't got a marking. Add up all the rest

80 + 20 + 30 + 50 +DE + 100 = 360     Add the left side

280 + DE = 360                                     Subtract 280 from both sides

280 - 280 + DE = 360 - 280

DE = 80

The answer is C

Answer 2

Answer:

C. 80°

Step-by-step explanation:

A circle adds to 360 degrees

AB +BC + CD +DE +EF + FA = 360

20 + 30+ 50+ DE +100 + 80 = 360

Combine like terms

280+DE = 360

Subtract 280 from each side

280-280+DE = 360-280

DE = 80