Question

how do you draw an angle on the coordinate plane without a protractor or a compass

Answer 1

use a ruler if possible

Answer 2

you would have to turn

Answer 3

Trigonometric ratio.....boom....that's right feel the burn... Medal?

Answer 4

This is one of many ways.
Given an angle a. Find its tan by calculator, 1.5 for example.
On a right triangle, draw one side with 1 unit long, and the other side 1.5 unit long. The angle a with tan a = 1.5 will be shown.