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MathNet 2006 — Part 03 Question 20

Math Olympiad Vault · MathNet 2006 — Part 03

Question 20

In the figure we have $\hat{B}=50^{\circ}$, $AD$ and $CD$ are the bisectors of the angles $\hat{A}$ and $\hat{C}$ respectively.
What is the measurement of the angle $A \hat{D} C$?

A) $90^{\circ}$

B) $100^{\circ}$

C) $115^{\circ}$

D) $122.5^{\circ}$

E) $125^{\circ}$

Question illustration