The sum of the measures of two angles is 90°
When the sum of the measures of two angles is 90°, we call them complementary angles
When the sum of the measures of two angles is 90°, we call them complementary angles. Complementary angles are a special pair of angles that, when combined, form a right angle (90°). Each angle on its own is referred to as the complement of the other angle.
To better understand complementary angles, let’s work on an example. Let’s say we have Angle A and Angle B, and their measures sum up to 90°. We can express this relationship mathematically as:
Angle A + Angle B = 90°
For instance, let’s assume Angle A measures 40°. To find the measure of Angle B, we can subtract the measure of Angle A from 90°:
Measure of Angle B = 90° – 40° = 50°
Therefore, in this case, Angle A measures 40°, and Angle B measures 50°. When we add these angles together, we get:
40° + 50° = 90°
Which confirms that their measures do indeed sum up to 90°, making them complementary angles.
It’s important to note that complementary angles can be formed with any pair of angles as long as their measures add up to 90°. It does not matter if the angles are adjacent (sharing a common side and vertex) or non-adjacent. As long as their measures add up to 90°, they are complementary angles.
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