Note that these two problems given to us uses the "<em>inscribed angle theorem</em>", which states that the angle is 1/2 the measurement of a central angle. Keep in mind that the central angle's measurement is the same as it's projected arc, and so the inscribed angle would also be 1/2 the measurement of the projected arc. This works vice versa too. The projected arc would be twice as large as the inscribed angle's measurement.
