2017 · Q94
In the figure given below, ∠ A = 80° and ∠ ABC = 60°. BD and CD bisect angles B and C respectively. What are the values of x and y respectively ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A10 and 130
- B10 and 125
- C20 and 130
- D20 and 125
Explanation
∠C = 180° − 80° − 60° = 40°. The bisectors give x = ∠BCD = 20° and ∠DBC = 30°, so y = ∠BDC = 180° − 30° − 20° = 130°: option C.