Question

What is an angle that is supplementary to BEC?

Answer 1

Angle CED

Explanation:

First find out what supplementary angles mean:

Supplementary angles are angles that add up to 180 degrees(straight angle).

Now, we have to find out what angle is supplementary to angle BEC.

We can see that the line angle BEC lies on is FD mainly, and we have to find an angle that adds to BEC which equals 180 degrees.

We can also see that angle CED is adjacent to angle BEC and lies on line FD.

When we look at angles BEC and CED, you can see that they both form a straight line(180 degrees).

So angle CED is the correct answer.

Answer 2

∠BEA or ∠AEB or ∠DEC or ∠CED

Explanation:

You want an angle that is supplementary to angle BEC where lines AC and BD cross at point E.

Angles

Crossing lines form 4 angles. Among those are two pairs of congruent angles. The congruent angles are the opposite (vertical) angles.

Each angle is supplementary to the two angles it is adjacent to.

Angle BEC is supplementary to angle BEA and to angle DEC.

Angles BEA and DEC are supplementary to angle BEC.

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Additional comment

These angles could also be named as angle AEB and angle CED.

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