ABCD is a cyclic quadrilateral in which \(\angle A=68^\circ\) and \(\angle B=105^\circ\). What is the difference between the measures of \(\angle C\) and \(\angle D\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 37°
In a cyclic quadrilateral the opposite angles add up to \(180^\circ\).
\(\angle C=180^\circ-\angle A=180^\circ-68^\circ=112^\circ\)
\(\angle D=180^\circ-\angle B=180^\circ-105^\circ=75^\circ\)
\(\angle C-\angle D=112^\circ-75^\circ=37^\circ\)
