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Mathematics 21 Online
OpenStudy (anonymous):

have a triangle 77º 50º and (7x-3)º how do i figure the third?

OpenStudy (campbell_st):

angle sum of a triangle is 180 so 7x - 3 = 180 - 77 - 50 just solve for x

OpenStudy (anonymous):

iam sorry I dont know how to solve for x could you tell me how

OpenStudy (anonymous):

i do know the sum is 180 and I think the answer is 53 but how do i show this? thank you

OpenStudy (whpalmer4):

\[7x-3=180-77-50\]\[7x-3 = 53\]Now add 3 to both sides, what do you get? Divide both sides by 7, what do you get?

OpenStudy (anonymous):

so 7x-3+3=53+3 sorry i dont understand how to add 3 to 7x-3

OpenStudy (anonymous):

7x - 3 + 3 = 7x

OpenStudy (whpalmer4):

So where you're left is with \[7x - 3 + 3 = 53 + 3\]\[7x \cancel{-3 + 3} = 56\]\[7x = 56\]Divide both sides by 7\]\[\frac{7x}{7} = \frac{56}{7}\]\[\frac{\cancel{7}x}{\cancel{7}} = 8\]\[x=8\]Agreed? Now plug \(x=8\) into \(7x-3\) to find the number of degrees of the mystery angle. Check your work by adding the answer to 77 and 50 and verifying that you get 180.

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