Answer:
The measure of the third arc is 
Step-by-step explanation:
step 1
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
in this problem
Let
x----> the greater arc of the circle intercepted by the secant and the tangent
y----> the smaller arc of the circle intercepted by the secant and the tangent

----> equation A

-----> equation B
Substitute equation B in equation A and solve for y

Find the value of x

step 2
Find the measure of the third arc
Let
z------> the measure of the third arc
we know that
-----> complete circle
substitute the values and solve for z


Answer:
6/12, 8/12, and 9/12.
Step-by-step explanation:
Let's find the least common denominator:
First, the least common multiple of 2, 3, and 4 is 12.
12 is divisible by 2, 3, and 4.
<u>Next, multiply the denominators with the numerators:</u>
Products: 6/12, 8/12, and 9/12
the answer is multiply the current term by 2 and add 1 to find the next term.
138° + w° = 180° (sum of angle on a straight line)
w° = 180° - 138°
w = 42
19° + x° + w° = 90°
sub. in w=42,
19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29