Mathematics

Problem

A pair of parallel lines

a

and

b

is intersected by a transversal

c

. At the point where

c

meets

a

, the angle on the interior side of

a

and to the left of

c

measures

57.5^{\circ}

. a. (i) Identify the angle on line

b

that is alternate interior to the given

57.5^{\circ}

angle. b. (ii) Determine its measure, giving reasons for each step.