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Mathematics 8 Online
OpenStudy (anonymous):

How would I do this problem? Find the value of x for the measure of arc AB = 27 degrees and the measure of arc CD = 49 degrees.

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

join AD

ganeshie8 (ganeshie8):

in \(\triangle OAD\) find the angles \(\angle A\) and \(\angle D\)

ganeshie8 (ganeshie8):

\(x = \angle A + \angle D\)

OpenStudy (anonymous):

Is it 51.5?

ganeshie8 (ganeshie8):

what did u get for \(\angle A\) and \(\angle D\) ?

OpenStudy (anonymous):

i did the process incorrectly, im going to try again

OpenStudy (anonymous):

What is the first step for how I supposed to find x? I need to make sure I am doing this right.

ganeshie8 (ganeshie8):

good :) first step : join AD

OpenStudy (anonymous):

Okay

ganeshie8 (ganeshie8):

Next, look at \(\triangle OAD\)

OpenStudy (anonymous):

Okay

ganeshie8 (ganeshie8):

\(\angle A = CD/2 \) (why ?)

ganeshie8 (ganeshie8):

\(\angle A = CD/2\) = \(49/2\)

OpenStudy (anonymous):

And then angle D would be = AB/2 right?

ganeshie8 (ganeshie8):

thats correct :)

OpenStudy (anonymous):

So it is 38 :) Thanks!!!

ganeshie8 (ganeshie8):

wow ! you're awesome !!! good work :)

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