An angle measures 85 degree. Find the measures of its complementary an...
Karabi Try to solve it by yourself.Complementary Angle mean two angle whose sum is 90 degree.So 90-85=5 degree.Supplementary angle mean two angle whose sum is 180 degree.So 180-85=95 degree.
An angle measures 85 degree. Find the measures of its complementary an...
Complementary and Supplementary Angles:
To find the measures of the complementary and supplementary angles of a given angle, we need to understand the concepts of complementary and supplementary angles.
Complementary Angles:
Complementary angles are two angles whose measures sum up to 90 degrees. In other words, if the measure of one angle is a, then its complementary angle will be (90 - a) degrees.
Supplementary Angles:
Supplementary angles are two angles whose measures sum up to 180 degrees. If the measure of one angle is a, then its supplementary angle will be (180 - a) degrees.
Now, let's apply these concepts to the given angle of 85 degrees.
Measuring the Complementary Angle:
To find the measure of the complementary angle, we subtract the given angle from 90 degrees:
Complementary Angle = 90 - 85
Complementary Angle = 5 degrees
Therefore, the measure of the complementary angle is 5 degrees.
Measuring the Supplementary Angle:
To find the measure of the supplementary angle, we subtract the given angle from 180 degrees:
Supplementary Angle = 180 - 85
Supplementary Angle = 95 degrees
Therefore, the measure of the supplementary angle is 95 degrees.
Summary:
- The given angle measures 85 degrees.
- The complementary angle measures 5 degrees.
- The supplementary angle measures 95 degrees.
Remember that complementary angles sum up to 90 degrees, while supplementary angles sum up to 180 degrees. By applying the formulas mentioned above, we can easily find the measures of the complementary and supplementary angles of any given angle.
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