Mathematics

Problem

In a city intersection plan, two straight roads

r

and

s

are intended to be parallel. A crossroad

t

cuts them, creating two interior angles on the same side of

t

whose measures are

(6x - 3)^{\circ}

and

(5x + 9)^{\circ}

. a. (i) Determine the value of

x

. b. (ii) Hence, find the measure of each of the two interior angles.