Lines and are intersected by a transversal at points and respectively

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

Problem

Lines

l

and

m

are intersected by a transversal

t

at points

P

and

Q

respectively. At

P

, the interior angle on the left of

t

between

l

and

m

\angle 1 = 4y + 10^{\circ}

. The angle vertically opposite to

\angle 1

110^{\circ}

. At

Q

, the interior angle on the right of

t

between

l

and

m

\angle 2 = 2y + 50^{\circ}

. Which of the following statements is true? (a)

l \parallel m

because \;

\angle 1 = \angle 2

(b)

l \parallel m

because \;

\angle 1 + \angle 2 = 180^{\circ}

(c)

l \nparallel m

because \;

\angle 1 \neq \angle 2

(d)

l \nparallel m

because \;

\angle 1 \text{ and } \angle 2 \text{ are corresponding angles}