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calculusxy
 one year ago
geometry question.
the figure will be drawn below ...
calculusxy
 one year ago
geometry question. the figure will be drawn below ...

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443914739956:dw In the figure above, if z = 30, what is the value of x + y ?

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0I thought that it was 150

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3dw:1443914836421:dw

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3So \(\angle z\) is an alternate interior angle to both \(\angle x\) and \(\angle y\) therefore \(\angle z = \angle x =\angle y = 30\)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0so if z = 30 then wouldn't x equal to 75 or would it be 60?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3Okay, let's look at it a different way.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3Let's say that in order to complete all the interior angles of a triangle, it has to be = 180, yes?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2hints dw:1443915336204:dw

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3Therefore, if we take in to consideration the missing sides, then we will see that (180y) will make a supplementary angle

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3and the same goes for x. (180  x) will give you the other missing angle within the triangle

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 so the triangle is not an equilateral triangles?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3And then if you add \(\angle z\) + missing side 1 + missing side 2, it would total to 180..

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3An equilateral triangle means that all sides are 60 degrees.

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah i completely forgot about that

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0would the answer be 210?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.3missing side 1 = 180  x missing side 2 = 180  y we have z. z+ missing side 1 + missing side 2 = 180 z + (180  x) + (180  y) = 180

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2`so the triangle is not an equilateral triangles?` it's not guaranteed it's equilateral, so it's hard to say if yes or no

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.330 + 360 xy = 180 x + y = 30 + 360  180 = 210
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