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If QS bisects PQR, m PQS = (10x-9), and m SQR= (4x+15), find x.​

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Nuhulawal20id

Given that QS bisects PQR making mPQS the same as the mSQR, the numerical value of x is 4

What is the numerical value of x?

A bisector divides a segment or angle into two equal halves.

Given the data in the question;

  • QS bisects PQR
  • m PQS = (10x-9)
  • m SQR= (4x+15)
  • Value of x = ?

Since QS bisects PQR, m PQS is the same as m SQR.

Hence;

m SQR =  m PQS

We plug in the values

(4x+15) = (10x-9)

Remove parenthesis and solve for x.

4x + 15 = 10x - 9

15 + 9 = 10x - 4x

24 = 6x

x = 24/6

x = 4

Given that QS bisects PQR making mPQS the same as the mSQR, the numerical value of x is 4

Learn more about equations here: brainly.com/question/14686792

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