Lines and are parallel

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

Problem

Lines

a

and

b

are parallel. Two distinct transversals

m

and

n

cut them as follows: • Transversal

m

meets

a

P

and

b

Q

. • Transversal

n

meets

a

R

(to the right of

P

) and

b

S

(to the right of

Q

). At

P

, the angle between line

a

and transversal

m

above line

a

(3x + 3)^{\circ}

. At

Q

, the corresponding angle above line

b

(y - 10)^{\circ}

. At

R

, the angle between line

a

and transversal

n

above line

a

61^{\circ}

. At

S

, the corresponding angle above line

b

(2y + 5)^{\circ}

. Find the values of

x

and

y