Geometry and TrigonometryVery hardAngle between two angle bisectors
Geometry and Trigonometry practice question
In triangle PQR, angle P measures 50° and angle Q measures 60°. The bisectors of angles Q and R meet at point I. What is the measure, in degrees, of angle QIR?
Answer: 115
Angle R is 70°. In triangle QIR the angles at Q and R are half of 60° and 70°, so angle QIR = 180 − 30 − 35 = 115.
Common wrong answers
- If you answered 25
- 25 is half of angle P.
- If you answered 65
- 65 is 30 + 35, the two half-angles.
- If you answered 130
- 130 is angle Q plus angle R without halving.
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