Lines and are parallel with below

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

a

and

b

are parallel with

b

below

a

. Transversal

c

meets them at

P

(on

a

) and

Q

(on

b

). At

P

, the interior angle on the left of

c

measures

(6y - 8)^\circ

. The vertically opposite angle to this at

P

measures

(4y + 20)^\circ

. At

Q

, the interior angle on the left of

c

measures

(3y + x)^\circ

. (i) Find

y

. (ii) Hence determine

x