Mathematics

Mathematics

Problem

Consider this partially completed proof: Given: Lines ABAB and CDCD intersect at OO. Proof: 1. ∠AOC+∠AOD=180∘\angle AOC + \angle AOD = 180^{\circ} …(1) 2. ∠AOD+∠DOB=180∘\angle AOD + \angle DOB = 180^{\circ} …(2) 3. __________ …(3) 4. Therefore, ∠AOC=∠DOB\angle AOC = \angle DOB. Which statement correctly fills blank (3)? a) ∠AOC=∠AOD\angle AOC = \angle AOD b) ∠AOC+∠AOD=∠AOD+∠DOB\angle AOC + \angle AOD = \angle AOD + \angle DOB c) ∠AOC+∠DOB=180∘\angle AOC + \angle DOB = 180^{\circ} d) ∠AOC=∠DOB\angle AOC = \angle DOB

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