Question

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

Answer 1

The values for x and y are respectively given as

• x = 50
• y= 90

This is further explained below.

What is the values for x and y ?

Generally, the equation for secent  is  mathematically given as

$secent = \frac{big arc - small arc}{2}$

Therefore

$40 = \frac{130-x}{2}$

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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