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:
Letter B matches the probability.
Step-by-step explanation:
Lucy throws a fair six sided dice.
Probability of the dice landing on a number between 1 and 6 = 
= 
On a number line fraction
can be represented by,
An small section (A to B) will represent the fraction = 
Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.