<DOE contains points D(2,3) O(0,0) and E(5,1). Which of the following angles are both adjacent and supplementary to <DOE?

Question

<DOF, with F (10, 2)
<DOF, with F (-2, -3)
<DOF, with F (-5, -1)
<EOF, with F (-5, -1)
<EOF, with F (-2, -3)
<EOF, with F (10, 2)

You can choose 2 options!
I'm not good with this stuff. I think one is -5, -1 and the other is -2, -3... maybe. Even so, I wouldn't know if it's DOF or EOF. Please help? Thanks!

Answer 1

First step: PLOT THE POINTS!

DOF must form a straight line with OE, which is the line y=x/5

So, just look at the points where that holds, and decide which angles are adjacent to DOE.

Hint. <DOF, with F (10, 2) does not work, because that is just the same angle as DOE, not adjacent to it.

Answer 2

Thanks, Steve!:) I got the answer!
C and E (if I remember correctly that's what I put down XD) But I got it right:)