2010 · Q53
The line segments AB and CD intersect at O. OF is the internal bisector of obtuse angle BOC and OE is the internal bisector of acute angle AOC. If ∠BOC = 130°, what is the measure of ∠FOE ?
Elementary MathematicsGeometry
- A90°
- B110°
- C115°
- D120°
Explanation
∠FOE = ½∠BOC + ½∠AOC = 65°+25° = 90°.