Answer:
x = 12
Step-by-step explanation:
Let's find the measure of major arc MNB:
360 - arc MB = major arc MNB
Now, let's plug in what we know:
360 - (80 + 60) = major arc MNB
Next, combine like terms, and replace "major arc MNB" with "x."
360 - 140 = x
220 = x
Now, we know that the measure of major arc MNB equals 220 degrees.
Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:
2(Angle MLB) = major arc MNB
Now, let's plug in what we know:
2(9x + 2) = 220
Finally, let's solve for x:
18x + 4 = 220
18x = 216
x = 12
