Mathematics

Mathematics

Problem

Lines

p

and

q

are parallel. Transversals

r

and

s

meet line

p

at points

A

and

B

, and line

q

at points

C

and

D

respectively. The angle between

r

and

p

at

A

on the right of

r

is

(3x + 15)^\circ

. The corresponding angle between

s

and

q

at

D

on the right of

s

is

60^\circ

. Find the value of

x

.

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