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2 years ago

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

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

3 0

The values for x and y are respectively given as

x = 50
y= 90

This is further explained below.

<h3>What is the values for x and y ?</h3>

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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