Question

in terms of x, what is the measure of angle S if angle R = (3x +4) and angle T = (4x - 10)

Answer 1

What you need is the angle, alpha, in between your two lines. You can find this using the method outlined in my attachment.

You use the double angle formula for tan, and note that the slope of the line is equal to the tangent of the angle between the line and x-axis. You can see this at work in what I've done.

If you need any more help, let me know.