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Mathematics 10 Online
OpenStudy (anonymous):

Calculate the measure of angle CQD if segment AC is the diameter. 75.89° 75.79° 79.75° 107°

OpenStudy (anonymous):

OpenStudy (anonymous):

@Hero

OpenStudy (anonymous):

@kropot72

OpenStudy (anonymous):

@dan815

OpenStudy (anonymous):

@rational

OpenStudy (rational):

start by finding the value of "x"

OpenStudy (rational):

since the AC is the diameter, it is also a straight line, so the angles add up to 180 : \[6x+5x+8x = 180\] solve \(x\)

OpenStudy (anonymous):

x=10?

OpenStudy (anonymous):

@rational

OpenStudy (rational):

try again

OpenStudy (anonymous):

oh sorry is it x = 2?

OpenStudy (rational):

how ?

OpenStudy (anonymous):

this is how i solved it

OpenStudy (rational):

\[6x+5x+8x=180\] \[19x=180\] \[x = \dfrac{180}{19} = 9.47\] right ?

OpenStudy (anonymous):

6x + 5x + 8x = 180 19x = 180 x = oooohhh i calculated wrong xc

OpenStudy (rational):

thats okay multiply that x by 8 to get the measure of angle CQD

OpenStudy (anonymous):

i just resolved it and i got 9.47

OpenStudy (rational):

good multiply that by 8

OpenStudy (anonymous):

75.76

OpenStudy (rational):

Yep!

OpenStudy (rational):

maybe multiply it without rounding

OpenStudy (rational):

180/19*8 = ?

OpenStudy (anonymous):

so the answer would be B

OpenStudy (anonymous):

75.79

OpenStudy (rational):

thats right!

OpenStudy (anonymous):

thanks alot!

OpenStudy (rational):

yw!

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