Question
In the figure, AD and CE are the angle bisectors of ∠A and ∠C respectively. If ∠ABC = 90° then find ∠AOC.
Solution
Given: AD and CE are the angle bisectors of ∠A and ∠C respectively. ∠ABC = 90°
To Determine: ∠AOC
Determination: In ∆ABC,
∠A + ∠B + ∠C = 180°
| Angles sum property of a triangle
⇒ ∠A + 90° + ∠C = 180°
⇒ ∠A + ∠C = 90° ...(1)
In ∆AOC,
∠OAC + ∠OCA + ∠AOC = 180°
| Angle sum property of a triangle
