Lines and intersect at point

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

Problem

Lines

l

and

m

intersect at point

O

. Rays

OA

OB

OC

and

OD

are such that

OA

and

OC

are collinear but in opposite directions, and

OB

and

OD

are collinear but in opposite directions. Which of the following statements is always true? (a)

\angle AOB = \angle BOC

(b)

\angle AOB + \angle COD = 180^{\circ}

(c)

\angle AOB = \angle COD

(d)

\angle AOB + \angle BOC = 90^{\circ}