Mathematics

Mathematics

Problem

Lines ABAB and CDCD intersect at point OO, forming four angles. One of the angles measures 112∘112^\circ. a. (i) State the theorem that relates the measures of a pair of vertically opposite angles obtained when two straight lines intersect. b. (ii) Using the theorem stated in part (i), find the measure of the angle that is vertically opposite to the 112∘112^\circ angle. c. (iii) Classify both the 112∘112^\circ angle and its vertically opposite angle as acute, right, obtuse, straight, or reflex. Give suitable justification for each classification.

Browse the problem library