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Point O is the inventer of triangle ABC. what is the measure of <QBO?​

Point O is the inventer of triangle ABC. what is the measure of <QBO?​
asked 152k views
16 votes
Point O is the inventer of triangle ABC. what is the measure of <QBO?​

Point O is the inventer of triangle ABC. what is the measure of <QBO?​-example-1
asked
User Harish Talanki
by
8.5k points

1 Answer

8 votes

Answer:

  • 12°

Explanation:

AO is the angle bisector of the angle BAC

  • m∠BAO = m∠CAO
  • 2x + 6 = 4x - 12
  • 4x - 2x = 6 + 12
  • 2x = 18
  • x = 9

Substitute the value of x:

  • m∠QBO = 3x - 15°
  • m∠QBO = 3*9° - 15° = 27° - 15° = 12°
answered
User AlexTheo
by
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