Question

Identify the segments that are parallel, if any, if ∠DCB,∠CBA are supplementary.

A. DC¯¯¯¯¯¯¯¯ || AB¯¯¯¯¯¯¯¯
B. AD¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯
C. AC¯¯¯¯¯¯¯¯ || CD¯¯¯¯¯¯¯¯
D. BA¯¯¯¯¯¯¯¯ || CA¯¯¯¯¯¯¯¯

Answer 1

A

Explanation:

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Answer 2

Option A and Option B

Explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are parallel and equal in measure.

2). Adjacent angles are supplementary.

Since, ∠DCB and ∠ACB are the supplementary angles,

ABCD will be a parallelogram.

Therefore, Opposite sides of the parallelogram ABCD will be parallel and equal in measure.

DC║AB and AD║CB

Option A and Option B are the correct options.