christinestutes
  • christinestutes
Find the values of x and y. The diagram is not to scale. a. x = 77, y = 59 c. x = 57, y = 77 b. x = 77, y = 57 d. x = 41, y = 57
Mathematics
katieb
  • katieb
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christinestutes
  • christinestutes
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ybarrap
  • ybarrap
Use the fact that all the angles on the above the horizontal must equal 180 degrees and the angles adjacent to the parallel lines must be equal: $$ (x-3)+41+(y+8)=180\\ (x-3)=74 $$ Make sense?
christinestutes
  • christinestutes
so x= 77?

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geerky42
  • geerky42
Yep. so that leaves us A or C. Now plug x=77 in first equation and solve for y.
christinestutes
  • christinestutes
one more? line r is parallel to line t. Find m 5.
christinestutes
  • christinestutes
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geerky42
  • geerky42
Can you tell me what \(m\angle1\) is? From there, you would know what \(m\angle5\) is, since they are corresponding angles.

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