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In the ﬁgure below, what is the relationship between x, y, a [#permalink]
26 May 2019, 01:10
In the ﬁgure below, what is the relationship between x, y, and z? Attachment:
#GREexcercise In the ﬁgure below, what is the relationship between.jpg [ 13.94 KiB  Viewed 2403 times ]
Math Review Question: 3 Page: 259 Difficulty: medium
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Re: In the ﬁgure below, what is the relationship between x, y, a [#permalink]
17 Oct 2019, 07:09
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Carcass wrote: In the ﬁgure below, what is the relationship between x, y, and z? Attachment: #GREexcercise In the ﬁgure below, what is the relationship between.jpg Math Review Question: 3 Page: 259 Difficulty: medium Here, exterior angle = sum of the opposite interior angles i.e \(\angle z = \angle y + \angle x\)
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Re: In the ﬁgure below, what is the relationship between x, y, a [#permalink]
18 Nov 2019, 22:03
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Carcass wrote: In the ﬁgure below, what is the relationship between x, y, and z? Attachment: The attachment #GREexcercise In the ﬁgure below, what is the relationship between.jpg is no longer available Math Review Question: 3 Page: 259 Difficulty: medium In the triangle MNO, x+y+a = 180 a = 180  (x+y) Now, NL is a straight line, so a + z = 180 180  (x+y) + z = 180 we get z = x+y This is called the exterior angle theorem. Edit  Removed the explanation from the image and moved to text
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Last edited by uchihaitachi on 19 Nov 2019, 09:59, edited 1 time in total.



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Re: In the ﬁgure below, what is the relationship between x, y, a [#permalink]
19 Nov 2019, 06:56
Thank for the onpoint explanation. However, it would be better to post the figure and then the explanation as text. It is not that difficult and it would be searchable by the other students. Thank you. Regards
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Re: In the ﬁgure below, what is the relationship between x, y, a [#permalink]
19 Nov 2019, 10:16
Let's c be the third angle of the triangle. the sum of the interior angle of a triangle is equal to 180. Thus, (x + y) + c = 180
On the other hand z + c = 180 We can conclude that z = x + y




Re: In the ﬁgure below, what is the relationship between x, y, a
[#permalink]
19 Nov 2019, 10:16





