Name: SAT Math Help & School Math Mastery
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#40342

angles

triangle

hard

150 sec

In the figure, $A C = C D$ . The measure of angle $EBC$ is $α^{\circ}$ , and the measure of angle $A C D$ is $β^{\circ}$ . Which of the following expressions represents the value of $x$ in terms of $α$ and $β$ ?

A.

$180 - α - \frac{β}{2}$

B.

$90 + α - \frac{β}{2}$

C.

$90 - α + \frac{β}{2}$

D.

$180 - \frac{α}{2} - β$