81. If two angles have a common vertex and their arms form opposite rays (Fig. 5.41), then:
(a) How many angles are formed?
(b) How many types of angles are formed?
(c) Write all the pairs of vertically opposite angles.
(a) 13
(b) Linear pair, Supplementary, Vertically opposite, Adjacent
(c) ∠1 and ∠3; ∠2 and ∠4
Four rays from a common point form 13 angles. These include various types. Vertically opposite pairs are (1,3) and (2,4).