AB is tangent to the circle at B. M∠A=40 and mBC=130.
a. Find x
b. Find y

The values for x and y are respectively given as
This is further explained below.
Generally, the equation for secent is mathematically given as
[tex]secent = \frac{big arc - small arc}{2}[/tex]
Therefore
[tex]40 = \frac{130-x}{2}[/tex]
80 = 130-x
x = 50
b) To Solve for y Now we find a measure of arc CD
ArcCD = 360-130-50
ArcCD = 180
In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.
y = 180/2
y= 90
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