I am having such a difficult time with these questions. I think arc mDE is 104 and arc mFE is 76 but I don't think the answers are correct. Please help. I'm very sorry. Please show work so maybe I can understand it.
First one....you are correct !!!
So arc DEF = 104 + 76 = 180°
Note that arc CF = arc DE....so.....
arc CFD = 104 + 180 = 284°
And arc DFE = arc DCF + arc FE =180 + 76 = 256°
Second one ....top right
Note that arc QU = arc RS = 25°
arc TQ = arc TU + arc QU = 44 + 25 = 69°
To find arc QR, we need to do a little work
arc QS = 180
arc RS = 25
So arc QR = arc QS - arc RS = 180 - 25 = 155°
arc TS = arc QR - arc UT - arc RS = 180 - 44 - 25 = 180 - 69 = 111°
arc SQR = arc SQ + arc arc QR = 180 + 165 = 345°
arc RQT = arc RU + arc UT = 180 + 44 = 224°
Third one ......bottom left
Note that arc KN = 180°
And arc NM = 90°
And arc LM = 67°
So....
arc KL = 180 - 90 - 67 = 90 - 67 = 23° = arc ON
arc LON = arc LO + arc ON = 180 + 23 = 203°
arc OM = arc ON + arc NM = 23 + 90 = 113°
arc KNL = 360 - arc KL = 360 - 23 = 337°
arc NL = arc NM + arc LM = 90 + 67 = 157°