Answer: A. Just took my best guess
C. the only factors of-22 are±1,±2,±11,±22 and no combination of those factors add to 8
Your statement that angle C and angle D adding to 180 degrees isn't always true. What is always true is that angle A and angle C add to 180 degrees.
Rule: The opposite angles of an inscribed quadrilateral are supplementary (add to 180 degrees)
So,
(angle A) + (angle C) = 180
(x+2) + (x-2) = 180
x+2+x-2 = 180
2x = 180
2x/2 = 180/2
x = 90
Once you know x, you can find the angles
measure of angle A = x+2
measure of angle A = 90+2
measure of angle A = 92 degrees
measure of angle C = x-2
measure of angle C = 90-2
measure of angle C = 88 degrees
Note how A+C = 92+88 = 180
measure of angle D = x-10
measure of angle D = 90-10
measure of angle D = 80 degrees
measure of angle B = 360-A-C-D ... see note below
measure of angle B = 360-92-88-80
measure of angle B = 100 degrees
Note: for any quadrilateral, the four angles add to 360 degrees. So A+B+C+D = 360. We can solve for B to get B = 360-A-C-D
This is your formula an=1.2+(n+1)0.2
i like to simplify it so ill distribute and get
an=1.4+0.2n
then you plug 50 in for the n for the 50th term
an=1.4+0.2(50)
your answer is 11.4
