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Find angle UPS.  I don't know what to do.

 

 Aug 28, 2020
 #1
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This is just algebra in disguise. 
Since the 4th angle is equal to 3x + 7 degrees, and the 5th angle is equal to 9x-43 degrees, we can form a linear equation and solve.

 

3x + 7 + 9x - 43 = 180      <------- 180 degrees on a line

12x + 7 - 43 = 180

12x - 36 = 180

12x = 216

x = 18

 

To solve for UPS, we plug 18 into the 4th angle. 
 

3(18) + 7 = 61

 

But, we also need to add 90 degrees:

 

61 + 90 = 151 degrees

 

Maybe you actually will see this answer. Maybe not, as you are a guest, and you can't save topics. 
 

:)

 Aug 28, 2020

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