Lines and are parallel and are cut by transversal at and

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

Problem

Lines

a

and

b

are parallel and are cut by transversal

c

M

and

N

. At

M

, the angle on the left of

c

outside the parallel lines is

(4x + 10)^\circ

. At

N

, the angle on the right of

c

inside the parallel lines is

(3x - y)^\circ

. Also, the angle on the right of

c

outside at

M

(2y - 20)^\circ

. (i) Find the values of

x

and

y

. (ii) Determine the acute angle formed at

N

between line

b

and transversal

c