Based on the given figure, if m∠BQC= 2x-3 and m∠CQD=4x+9, what is the value of x if m∠BQD = 120°?

rush , please help.
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Based On The Given Figure If MBQC 2x3 And MCQD4x9 What Is The Value Of X If MBQD 120rush Please Help Unappropriate Answer Report class=

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Based on the given figure, if m∠BQC= 2x-3 and m∠CQD=4x+9, what is the value of x if m∠BQD = 120°?

What is asked: The value of x

Given measurements:

  • m∠BQD = 120°
  • m∠BQC = 2x - 3
  • m∠CQD = 4x + 9

Proving that m∠BQC + ∠CQD = m∠BQD, we can simply solve for x.

m∠BQC + m∠CQD = m∠BQD

  • 2x - 3 + 4x + 9 = 120
  • 2x + 4x - 3 + 9 = 120
  • 6x + 6 = 120
  • 6x = 120 - 6
  • 6x = 114
  • x = 114/6
  • x = 19

Answer:

  • The value of x is 19.