Question

Please help!!
Find the value of x

A. 12
B. 6
C. 10

Answer 1

x = 12

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