Mathematics

Problem

Four statements related to the intersection of lines

AB

and

CD

at point

O

are given below: P.

\angle AOC + \angle AOD = 180^{\circ}

. Q.

\angle AOD + \angle DOB = 180^{\circ}

. R.

\angle AOC = \angle DOB

. S. Vertically opposite angles are equal. Which order of these statements forms a logically correct paragraph proof of the theorem? a)

\text{Q, P, R, S}

\text{P, R, Q, S}

\text{P, Q, R, S}

\text{R, P, Q, S}