Lines and are parallel

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

a

and

b

are parallel. Transversal

p

intersects them at points

M

(on

a

) and

N

(on

b

). A second transversal

q

also passes through

M

and meets

b

P

. (i) The angle between

a

and

p

M

on the upper right side is

90^{\circ}

. (ii) The angle between

b

and

p

N

on the lower left side is

(3x + 15)^{\circ}

. (iii) The angle between

a

and

q

M

on the upper left side is

(2y + 5)^{\circ}

. (iv) The angle between

b

and

q

P

on the lower left side is

(y + 25)^{\circ}

. Find the values of

x

and

y