Mathematics

Problem

Lines

p

and

q

are parallel. Two transversals

r

and

s

intersect them between the parallel lines. (a) Transversal

r

cuts

p

A

and

q

B

. At

A

, the angle on the lower right side is

(4x - 14)^{\circ}

. At

B

, the angle on the lower right side is

(6x - 46)^{\circ}

. Find

x

. (b) Transversal

s

cuts

p

C

(to the right of

A

) and

q

D

. At

C

, the angle on the upper left side is

(2y + 20)^{\circ}

. At

D

, the angle on the upper left side is

(y + 25)^{\circ}

. Find

y

. (Assume all stated angles are in corresponding positions.)