hayleipriest hayleipriest
  • 14-01-2019
  • Mathematics
contestada

Find QTR if QTS=(3x+50) ,QTR=(4x-2) and RTS=26

A.26

B.54

C.102

D.118

Find QTR if QTS3x50 QTR4x2 and RTS26A26B54C102D118 class=

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sqdancefan
sqdancefan sqdancefan
  • 15-01-2019

Answer:

C. 102

Step-by-step explanation:

We need to use the relationships between the angles to find the value of x, then use that value to find the specific angle asked for.

  QTR + RTS = QTS . . . . . . angle sum theorem

  (4x -2) + 26 = (3x +50) . . . substitute the given values

  x = 26 . . . . . . . . . subtract 3x+24

  QTR = 4x -2 = 4·26 -2

  QTR = 102

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