Question

what is the relationship between the measures of complementary angles? draw a pair of complementary angles. write a definition of complementary angles. use your figure to test your definition. does your definition hold true? why, or why not? write a new definition below if necessary.

Explanation:

Complementary angles are defined as two angles whose sum is \(90^{\circ}\). When drawing a pair, for example, one angle could be \(30^{\circ}\) and the other \(60^{\circ}\), and their sum \(30 + 60=90^{\circ}\) which satisfies the definition. The relationship is that the measures of complementary angles add up to \(90^{\circ}\).

Answer:

• Relationship: The sum of the measures of complementary angles is \(90^{\circ}\).
• Drawing: (For example) Two adjacent angles where one is \(30^{\circ}\) and the other \(60^{\circ}\) forming a right - angled corner (a right angle is \(90^{\circ}\)).
• Definition: Complementary angles are two angles whose sum of measures is \(90^{\circ}\).
• Testing: If in the drawn figure (e.g., \(30^{\circ}\) and \(60^{\circ}\)), \(30 + 60 = 90\), the definition holds true.