What is the measure of ∠TVU, and why? A.y, because Triangle RST is similar to triangle VUT B.y over 2, because Triangle RST is congruent to triangle VUT C.y + 55 degrees, because Triangle RST is similar to triangle TUV D.125 degrees − y, because Triangle RST is congruent to triangle TUV

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What is the measure of ∠TVU, and why? A.y, because Triangle RST is similar to triangle VUT B.y over 2, because Triangle RST is congruent to triangle VUT C.y + 55 degrees, because Triangle RST is similar to triangle TUV D.125 degrees − y, because Triangle RST is congruent to triangle TUV

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1 Attachment
  • phi
do you know about "vertical angles" ?

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Other answers:

  • phi
yes, no or maybe?
  • phi
vertical angles are equal |dw:1433277907556:dw|
  • phi
if you use that info with your picture |dw:1433277964853:dw|
  • phi
the sum of the 3 angles in a triangle add up to ?
  • phi
they add up to 180. if 2 angles in a triangle match 2 angles in another triangle, the 3rd angles must also match (because it's the number that makes the other two add up to 180)
do I add 55+55 cause a normal triangle should add up to 90
  • phi
call the "vertical angle" x (some unknown number) in the left triangle you have 55+x+y = 180 (they have to add up to 180) in the right triangle you have 55+x + ? = 180 what must the ? be? it must be y
so its c right?
  • phi
the point is if 2 angles are congruent, then the third angle is also. if 3 angles are congruent, the triangles are similar
ok ty for help
  • phi
angle TVU is the unmarked angle in the bottom right triangle. the 2 triangles are similar and that means the 3 angles in one triangle are exactly equal to the corresponding angles in the other triangle. Follow ?

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