Angles
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:
