The mesures of the interior angles of a triangle are represented by 2x+10 and 3x+40. Which of the following is the mesure of the smallest angle of this triangle?
1.)50
2.)88
3.)42
4.)16
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OpenStudy (hba):
But there should be 3 sides ?
OpenStudy (anonymous):
oh oops my bad its 2x+10, 5x-30 and 3x+40.
OpenStudy (hba):
Do you know what is the sum of angles ?
OpenStudy (anonymous):
no I dont know any of this... I dont get it
OpenStudy (hba):
Sum of interior angles=(n-2)*180
Where n=3
Now find Sum of interior angles :)
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OpenStudy (anonymous):
what?
OpenStudy (hba):
Sum of interior angles=(3-2)*180
=
OpenStudy (hba):
What will Sum of interior angles be ?
OpenStudy (anonymous):
idk
OpenStudy (hba):
No one know until you do the maths here -_-
Sum of interior angles=(3-2)*180
=1*180
2x+10+ 5x-30 + 3x+40 =180
Now solve for x.
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OpenStudy (anonymous):
okay so then whats x?
OpenStudy (hba):
Do it your self,no one is gonna tell.
OpenStudy (anonymous):
is it 50?
OpenStudy (hba):
No
OpenStudy (anonymous):
20?
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OpenStudy (hba):
Stop fooling around and solve it
OpenStudy (anonymous):
x=20 right?
OpenStudy (hba):
I am not telling.
OpenStudy (hba):
Solve it and show me the working.
OpenStudy (anonymous):
you add all the xs then divide
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OpenStudy (hba):
Yes add them and show me what you got.
OpenStudy (anonymous):
i got 16
OpenStudy (anonymous):
is that right?
OpenStudy (hba):
Yes :)
OpenStudy (anonymous):
thanks(:
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OpenStudy (anonymous):
16 is not the answer
OpenStudy (anonymous):
oh then how do i get the answer?
OpenStudy (anonymous):
16 is the value of x, you still need to plug it into your angle equations.
OpenStudy (anonymous):
Plug 16 into the x of: 2x+10, 5x-30 and 3x+40.
See which is smallest.
OpenStudy (anonymous):
so it would be 2(16+20) and would you multiply?
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