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Mathematics 13 Online
Nicole:

http://prntscr.com/o0yqb1

Nicole:

@Tranquility

Tranquility:

Here we have two chords intersecting each other. The formula for that would be \(\ m\angle x = \large{\frac{1}{2}} \left ( m \overset{\LARGE{\frown}}{AD} + m \overset{\LARGE{\frown}}{BC} \right)\)

Nicole:

Lol can you help me plugging in the numbers please?

Tranquility:

We're solving for \(\angle x\) They gave us arc AD and arc BC They're in the image right there arc AD = 143 arc BC = 75 add them up and find the average

Nicole:

218

Tranquility:

don't forget about the 1/2

Nicole:

109?

Tranquility:

That's your answer

Nicole:

http://prntscr.com/o0yxf6 last one

Tranquility:

2 secants

Nicole:

yes

Nicole:

50=1/2(10) or 10=1/2(50)

Tranquility:

|dw:1560355151615:dw| so angle E = 1/2 ( arc CD - arc AB)

Tranquility:

Sorry about all the messages, was trying to find a proper image haha

Tranquility:

Use the formula I just gave you

Nicole:

Its fine 50=1/2(50-10) ?

Tranquility:

I don't know where you got 50 from on the left side of the equal sign, but the other side is correct If you simplify that, you'll find the angle A

Nicole:

so what would be on that side?

Nicole:

x?

Tranquility:

\(\angle A\) would be on that side

Nicole:

20?

Tranquility:

That's correct

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