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OpenStudy (anonymous):
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A triangle ABC has angle ABC labeled as y, angle ACB labeled as z, and the exterior angle at A labeled as x.
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
OpenStudy (anonymous):
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
hi
OpenStudy (anonymous):
Hi
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OpenStudy (anonymous):
can you help me
OpenStudy (anonymous):
how
OpenStudy (anonymous):
i have a qusten
OpenStudy (anonymous):
ok can you help me first
OpenStudy (danjs):
Recall, the sum of the three angles in a triangle is 180 degrees
and
the sum of the 2 angles that make up a straight line is also 180 degrees
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OpenStudy (anonymous):
Ah thats what I thought I just wasnt sure
OpenStudy (danjs):
That missing angle at A is , 180 - y - z
and
the sum of that angle and x is 180, 180 = 180 - y - z + x
OpenStudy (anonymous):
So it is x+y+z=180 right?
OpenStudy (danjs):
no, 180 = 180 - y - z + x
180 - 180 = x - y - z
0 = x - y - z
x = y + z
OpenStudy (anonymous):
oh ok thanks
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