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Mathematics 21 Online
OpenStudy (rz172):

WILL FAN AND MEDAL!

OpenStudy (rz172):

@hartnn

OpenStudy (lexi):

add all sides than x2 to get ur answer

hartnn (hartnn):

Sum if interior angles in a triangle = the exterior angle. This is a theorem that can be easily proved. so z = x+y so we need to find x and y. y is very easy to find, can you try?

OpenStudy (rz172):

Is it 131?

OpenStudy (lexi):

Good JOB!

OpenStudy (lexi):

he added x and y

OpenStudy (rz172):

What?

OpenStudy (lexi):

you aded x and y to get ur answer. wht des x stand for and what does y stand for?

OpenStudy (lexi):

to get 131 x= 16 y= 115

OpenStudy (rz172):

I got 131 because it was right next to "y"?

OpenStudy (lexi):

yes

hartnn (hartnn):

131 and y are supplementary angles. can you now find y ?

OpenStudy (rz172):

I don't know how?

OpenStudy (lexi):

yes y equals 60 because 131+60= 190. you get ur answer by adding both. to get the sum for all corners

OpenStudy (lexi):

or for sides

hartnn (hartnn):

sum of supplementary angles = 180 :) 131 + y = 180

OpenStudy (lexi):

yup

OpenStudy (rz172):

So then now what?

hartnn (hartnn):

then you will get the 'y' now to find x, it is a part of a triangle with 2 angles given. you can use the property that sum of all 3 angles in a triangle = 180 to get the measure of x .

OpenStudy (rz172):

Is x 49?

hartnn (hartnn):

x + 42 +73 = 180 and nope

OpenStudy (rz172):

So what I need to solve is "x + 42 +73 = 180" to get my answer?

OpenStudy (rz172):

Which is 65

hartnn (hartnn):

yes

hartnn (hartnn):

that gives x you need z which is x + y

hartnn (hartnn):

x = 65 y= 49 z = 49 + 65

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