In Figure 3, if m Arc PM = 40 and m Arc JKM = 210, then m Arc JP =______°

In Figure 3, if m Arc PM = 40 and m Arc JKM = 210, then m Arc JP =______°

http://www.learningbygrace.org/geom/imag…

IS IT 80???

ok. well right off the bat, we know that arc JK = 180 degrees, since it is half of the circle

by the same logic the top half also equals 180 degrees.

we know that PM = 40, and JKM = 210

but we already know that JK = 180 , so MK = 30.

so JP, the missing arc in the top half is 180 - 30 - 40 = 110.