In the given figure, $A O B$ is a diameter and $D C$ is parallel to $A B$. If $\angle C A B=x^{\circ}$; find (in terms of $x$ ) the values of: $\angle$ DOC.
Exercise 17 (A) | Q 48.2 | Page 261
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$\angle O C D=\angle C O B=2 x$ (Alternate angles)
$\text { In } \angle O C D, O C=O D$
$\therefore \angle O D C=\angle O C D=2 x$
By angle sum property of $\triangle O C D$,
$\angle D O C=180^{\circ}-2 x-2 x=180^{\circ}-4 x$
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