Lines and are parallel

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

a

and

b

are parallel. Transversal

c

creates two alternate interior angles whose measures are

\left(4x - 5\right)^\circ

and

\left(3x + 25\right)^\circ

. A second transversal

d

cuts the same lines, producing a pair of corresponding angles measuring

\left(2y + 10\right)^\circ

and

\left(5y - 20\right)^\circ

. Find the value of

x + y

. (a)

42

(b)

40

(c)

50

(d)

30