Geometry and TrigonometryVery hardAngle formed by an angle bisector
Geometry and Trigonometry practice question
In triangle ABC, angle B measures 50° and angle C measures 70°. Point D lies on side BC so that segment AD bisects angle A. What is the measure, in degrees, of angle ADB?
Answer: 100
Angle A = 60°, so angle BAD = 30°. In triangle ABD, angle ADB = 180 − 50 − 30 = 100.
Common wrong answers
- If you answered 30
- 30 is half of angle A.
- If you answered 60
- 60 is angle A itself.
- If you answered 80
- 80 is angle ADC, the other angle at D.
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