Mathematics

Problem

Lines

AB

and

CD

intersect at

O

. Ray

OE

is drawn such that

O, A,

and

E

are collinear and

A

lies between

O

and

E

. If

\angle COE = 130^{\circ}

, answer the following questions. a. (i) Name the angle that forms a linear pair with

\angle COE

. b. (ii) Identify the angle vertically opposite to

\angle AOC

. c. (iii) Without calculation, state whether

\angle BOC

and

\angle COE

are supplementary or complementary. Give a reason.