Mathematics

Problem

Lines

l

and

m

are parallel. They are intersected by a transversal

t

at points

P

(on

l

) and

Q

(on

m

). The angle formed at

P

between

l

and

t

on the interior side of

l

and to the right of

t

measures

118^{\circ}

. a. (i) Name the position of the angle at

Q

that lies on the exterior side of

m

and to the right of

t

with respect to the given

118^{\circ}

angle. b. (ii) Calculate the measure of the angle described in part (i), showing all necessary steps and stating the theorem used.