Question

X=
answers
A)88
B)89
C)90 ​

Answer 1

B) 89

Explanation:

First, you set up the equation:

x = 1/2 (90 + 88)

(the 90 came from 45 x 2 because I needed the arc opposite of the arc with the measure of 88 degrees to set up the equation, and since Theorem 6-10 says: "The measure of an inscribed angle is equal to half the measure of its intercepted arc", that means that the 45 degree angle is half the measure of the arc that is opposite of the arc with the measure of 88 degrees.) That sounds so confusing. I hope you understand!

So then you add 90 and 88 to get 178. So:

x = 1/2 (178)

Finally, you multiply 1/2 and 178 together to get:

x = 89

Hope this clears it up a bit! :)