Bill has read 70 pages and plans to read 25 pages per day while Kate has read 50 pages but plans to read 29 pages per day. How many days will it
take for them to have read the same number of pages? (Please write the
equation and the solution on the answer line.)

In the circle, the angles boa and doc are vertical angles, on the opposite side of the intersection, and thus equals

that means that whatever 3x - 70 is, equals x + 10

so,
3x - 70 = x + 10
2x = 80
x = 40

so.. hmm if x = 40, then arcba is 3(40) - 70, or 120 - 70, which is 50

if arcba is 50°, then her twin arccd is also 50°, add them both and you get 100°

well, a circle has a total of 360° only, if we subtract those twins, we get leftover with 260°

now, because the other two angles, boc and aod are also vertical, they're also equals, and so that makes arcbc a twin of arcad

if we get the leftover 260° and divide it evenly to the twins, they each get 260/2 or 130°