So this circle has two lines, called tangent lines, coming off of it. How do we know they're tangent lines? They each just touch the circle at a single point (and make a right angle with a radius at that point), R for one, T for the other. And these two lines make an angle. We are asked to find the measure of this angle.
Once you learn this rule, you can apply it easily. The theorem states that if two secant lines, tangent lines, or one of each form an angle
outside of the circle, then that angle is half the major arc minus the minor arc
. That sounds confusing, I know, but basically we take the major arc TR, which has to be 360° – 134° = 226° (remember, the total has to be 360°, and one piece is 134°), and subtract the minor arc TR, which is 134°, so we get 92°. Remember, we want half of the difference, so half of 92°, which is 46°.
I really hope you are able to pass. Reach out to your teacher, use online resources like Khan Academy, ask classmates, and so on. Best of luck on your gradation!
