Mathematics

Problem

The opposite edges

PQ

and

RS

of a rectangular parking lot are to be verified as parallel. A straight security laser beam meets edge

PQ

at point

A

making an angle of

(3y + 15)^{\circ}

inside the lot. The same beam meets edge

RS

at point

B

so that the vertically opposite angle to the one inside the lot at

B

measures

(5y - 45)^{\circ}

. a. Part 1: (i) Show that edges

PQ\parallel RS

. b. Part 2: (ii) Determine the value of

y