ABCD is a cyclic quadrilateral in which \(\angle A=55^\circ\) and \(\angle B=95^\circ\). What is the difference between the measures of \(\angle C\) and \(\angle D\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 40°
In a cyclic quadrilateral the opposite angles add up to \(180^\circ\). \(\angle C\) is opposite \(\angle A\) and \(\angle D\) is opposite \(\angle B\).
\(\angle C=180^\circ-55^\circ=125^\circ\)
\(\angle D=180^\circ-95^\circ=85^\circ\)
Difference \(=125^\circ-85^\circ=40^\circ\)
