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Mathematics 9 Online
OpenStudy (anonymous):

What is the value of a?

OpenStudy (anonymous):

Question, please? :)

OpenStudy (anonymous):

picture

OpenStudy (anonymous):

thats the question

OpenStudy (anonymous):

woah... ok hold on

OpenStudy (anonymous):

so... if you look closely, 2*100 will be equal to 99 + a

OpenStudy (anonymous):

because according to definition, the measure of an interior angle is one half of the measure of the intercepted arc.

OpenStudy (anonymous):

so what do i do ?

OpenStudy (anonymous):

360 = a + 99 + 200 find a =? how did we know about the 200 ? refer to the Inscribed angles theorme here http://www.mathsisfun.com/geometry/circle-theorems.html

OpenStudy (anonymous):

how do i find a ?

OpenStudy (raden):

first, you have to solve for c, if c + 96 = 180 what is c ?

OpenStudy (anonymous):

84 ?

OpenStudy (raden):

yes, that's correct c = 84 now to finding of a, take an equation : a = 2 * c just plug in c, right ?

OpenStudy (raden):

|dw:1399835075666:dw| just remmber that the central angle is double of inscribed angle

OpenStudy (anonymous):

so 84 x 84 ?

OpenStudy (anonymous):

or 84 x 2 ?

OpenStudy (raden):

doubled means times 2, not square

OpenStudy (anonymous):

168

OpenStudy (raden):

yuup, correct. a = 168

OpenStudy (anonymous):

but thats not on my answer choices

OpenStudy (anonymous):

this are my answer choices : A.) 101 B.) 96 C.) 192 D.) 200

OpenStudy (anonymous):

@RadEn ?

OpenStudy (raden):

ah, sorry i was mistake in using the figure,,, well this is my last opini |dw:1399836453713:dw|

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