Add all of the measurements....they have to total 360 degrees....solve for 'x'
9x-22 +61+5x-7+34 = 360 does that help?
Yes, but on number 10 I come out with a decimal. Is it suppose to be a decimal?
Let's see
12x +2x+5 + 17x-14 + 90 = 360
31x -9+90
31x+81
31x = 360-81
31x=279
x =9 Nope! Better check your math......
10.
Note that the measure of minor arc AB = 90
(2x + 5) + (17x - 14) + 12x = 360 - measure of arc AB
31x - 9 = 360 - 90
31x - 9 = 270 add 9 to both sides
31x = 279 divide both sides by 31
x = 9
arc AD = 12x = 12*9 = 108°
arc BC = 2x + 5 = 2*9 + 5 = 23°
arc DC = 17x - 14 = 17*9 - 14 = 139°
arc DBC = 12x + 90 + (2x + 5) = 108 + 90 + 23 = 221°