Question

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

Answer 1

• 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°