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OpenStudy (anonymous):
Find the missing values of the variables. The diagram is not drawn to scale
OpenStudy (anonymous):
The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle?
OpenStudy (anonymous):
How many sides does a regular polygon have if each exterior angle measures 72?
OpenStudy (anonymous):
do you see the angle y?
OpenStudy (anonymous):
on the first question right?
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OpenStudy (anonymous):
yup in the attachment you provided.
OpenStudy (anonymous):
yes, i see angle Y.
OpenStudy (anonymous):
you can find it, cause in a supplement angle the sum should equal to 180 degrees so in this case you can set it up like this: y+116=180 and then solve for y.
OpenStudy (anonymous):
so Y=64?
OpenStudy (anonymous):
yup.
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OpenStudy (anonymous):
now to find x is a bit difficult, you would have to find the sum of angles in four sided figure to do this you will need 180(n-2) where n stands for the number of sides. In this case we have a figure with 4 sides, so this figure has a total sum of 360 degrees.
OpenStudy (anonymous):
So you equate: 64+x+72+125=360. Then you can solve for x. Hope I helped!
OpenStudy (anonymous):
yes, thanks
OpenStudy (anonymous):
x=99
OpenStudy (anonymous):
Yup! All the best mate!
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