Question

Find the measure of the arc or angle indicated.

Answer 1

Question 19)
First find the arc measurement for FG, to do that you multiply 43 by 2

43 x 2 = 86

Then subtract 86 from 180. Why 180? You use 180 because that is the measurement of a semicircle.

180 - 86 = 94

Now you have the arc measurement of EF. You may be asking why do you need that? Well from the measurement of the arc you can divide it to find the measurement of the inscribed angle.

So x = 94/2

x = 47

The missing angle is 47

Question 20)

First find the arc YX. To do that you multiply 44 by 2

44 x 2 = 88

Then subtract 88 from 180

180 - 88 = 92

The missing arc is 92