In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is
2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
"color the piece according to your color chart." Do you have that? If you don't, I wouldn't worry, you still did all the work and got all the answers, so your teacher should be fine with it.
SOLUTION
Consider the property, opposite angle of a cyclic quadrilateral are supplementary
hence

Recall that

Hnece, we have that

Then

Hence
x=17
Since

Therefore
The measure of angle NOP is 68⁰
Answer; 68⁰ (The fourth Option )