Questions: Which set of angles are complementary in this diagram? angle ECF and angle BCF angle ECF and angle DCE angle ECF and angle ACF angle DCF and angle BCF

Which set of angles are complementary in this diagram?
angle ECF and angle BCF
angle ECF and angle DCE
angle ECF and angle ACF
angle DCF and angle BCF

Transcript text: Which set of angles are complementary in this diagram? $\angle E C F$ and $\angle B C F$ $\angle E C F$ and $\angle D C E$ $\angle E C F$ and $\angle A C F$ $\angle D C F$ and $\angle B C F$

Solution

Solution Steps

Step 1: Identify Complementary Angles

Complementary angles are two angles whose measures add up to 90 degrees.

Step 2: Analyze the Diagram

Examine the diagram to identify pairs of angles that add up to 90 degrees. Look for right angles or angles that form a right angle when combined.

Step 3: Evaluate the Options

Check each option to see if the pair of angles listed are complementary:

$ \angle ECF $ and $ \angle BCF $
$ \angle ECF $ and $ \angle DCE $
$ \angle DCF $ and $ \angle ACF $
$ \angle DCF $ and $ \angle BCF $

Final Answer

The correct set of complementary angles is:

$ \angle ECF $ and $ \angle BCF $

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