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Mathematics 11 Online
OpenStudy (anonymous):

Triangle Using the information provided, what is the value of x? 110degree 46degree 55degree 64degree

OpenStudy (anonymous):

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (anonymous):

@mathstudent55

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@ShadowLegendX

OpenStudy (shadowlegendx):

Every triangle has a total of 180 degrees

OpenStudy (shadowlegendx):

So when finding X, the other angle, Angle B, must together with X and 70, equal 180 degrees

OpenStudy (shadowlegendx):

Now a right angle looks like this |dw:1400454524502:dw| This is a 90 degree angle, X has a degree that is smaller then this so we can see that A can't be the answer

OpenStudy (shadowlegendx):

@ikatouni are you seeing this?

OpenStudy (anonymous):

yes but I don't have time can u just tell me wat it is and then explain it pleez

OpenStudy (shadowlegendx):

So \[70 + X + B = 180\] Minus 70 from both sides of the equation and you get \[X + B = 110\] So we know that X + B has to equal 110

OpenStudy (shadowlegendx):

110 + 70 would equal in 180 degrees, this would make it a whole triangle

OpenStudy (anonymous):

yes so x equals

OpenStudy (shadowlegendx):

So looking at the image provided, it states that AB // CD , this means that AB is parallel to CD. So this means that the angle D(46 degrees) has the same amout of degrees as B would. This means that B is also 46 degrees

OpenStudy (anonymous):

that means X=46degrees

OpenStudy (shadowlegendx):

So looking back at our old equation, \[70 + X + B = 180\] We now know what B is \[70 + 46 + X = 180\]

OpenStudy (shadowlegendx):

Remember that \[X + B = 110\]

OpenStudy (shadowlegendx):

So 46 + what equals 110?

OpenStudy (anonymous):

64

OpenStudy (shadowlegendx):

Correct :)

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