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Mathematics 18 Online
OpenStudy (anonymous):

Lines CD and DE are tangent to circle A shown below.

OpenStudy (anonymous):

OpenStudy (anonymous):

If CE is 126°, what is the measure of ∡CDE? 126° 63° 117° 54°

OpenStudy (anonymous):

@Mertsj

OpenStudy (mertsj):

The angle formed by two tangents that intersect outside the circle is the difference of the intercepted arcs divided by 2

OpenStudy (anonymous):

so what are u saying

Directrix (directrix):

See attachment for theorem needed.

OpenStudy (anonymous):

I don't get how to set it up

OpenStudy (mertsj):

How many degrees in a circle?

OpenStudy (anonymous):

360

OpenStudy (mertsj):

So if the arc CE is 112, what does that leave for the arc CBE?

OpenStudy (anonymous):

248

OpenStudy (mertsj):

Subtract the first arc (112) from the second one(248) . When you get that answer, divide it by two.

OpenStudy (anonymous):

68

OpenStudy (mertsj):

That's what I got.

OpenStudy (anonymous):

but it said If CE is 126°, what is the measure of ∡CDE? 126° 63° 117° 54°

OpenStudy (anonymous):

do I do the same thing

OpenStudy (mertsj):

Then do the problem again using 126 for arc CE

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

54

OpenStudy (mertsj):

What is arc CE?

OpenStudy (anonymous):

112

OpenStudy (mertsj):

I made a mistake. Yes. I agree with 54

OpenStudy (anonymous):

tHAnk you

OpenStudy (anonymous):

In circle A shown below, m BC is 71° and m EF is 78°.

OpenStudy (anonymous):

OpenStudy (anonymous):

What is m∡FDE? 35.5° 74.5° 39° 78

OpenStudy (anonymous):

@Mertsj

OpenStudy (mertsj):

The angle formed by two chords is 1/2 the SUM of the intercepted arcs.

OpenStudy (anonymous):

WHAT ARE U SAYING

OpenStudy (mertsj):

Do you know what chords of a circle are?

OpenStudy (mertsj):

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