Complementary Angles (Quick Exploration)

In the applet below, the pink angle and the blue angle are said to be complementary angles. Interact with this applet for a minute or two, and answer the questions that appear below it.
1.
In your own words, describe what it means for 2 angles to be complementary angles.
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2.
In the applet above, the blue angle is said to be a complement of the pink angle, and vice versa. Given this information, determine the complement of a 40 degree angle.
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3.
What is the complement of a 1-degree angle?
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4.
What angle measure has a complement whose measure is equal to itself?
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Quick (Silent) Demo: (0:00 - 0:30)
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Information: Complementary Angles (Quick Exploration)