Question

Which angle is supplementary to the DCF
in this diagram?

An image shows that line A E intersects line D B at point C. Where line A E intersects with line D B, a right angle symbol is shown. Ray C F extends from line D B at point C, within angle E C B.

Answer 1

In your description, angle DCF and angle ECB are formed at point C, where line AE intersects line DB. Since line AE intersects line DB at point C and creates a right angle (90 degrees), angle DCE is a right angle.

To identify an angle that is supplementary to angle DCF, we need to determine which angle, when added to angle DCF, equals 180 degrees. In this case, since angle DCE is 90 degrees, angle DCF must also be 90 degrees, and thus:

- The angle that is supplementary to angle DCF is angle ECF (assuming it is on the same straight line CF extending through C).

Therefore, angle ECF is supplementary to angle DCF because both angles add up to 180 degrees along line DB.