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What is the measure of a comple-mentary angle of an angle greater than 45o?
- a)Less than 45o
- b)Equal to 45o
- c)Greater than 45o
- d)Equal to 90o
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the measure of a comple-mentary angle of an angle greater than...
"Answer: It is lesser than the angle because compl
etely angles sum is
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What is the measure of a comple-mentary angle of an angle greater than...
**Complementary Angles**
Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when you add the measures of two complementary angles, the total is always 90 degrees.
**Angle Greater than 45 degrees**
Let's consider an angle that is greater than 45 degrees. Since the sum of complementary angles is always 90 degrees, we can say that the measure of this angle plus the measure of its complementary angle will equal 90 degrees.
**Finding the Complementary Angle**
To find the measure of the complementary angle, we subtract the measure of the given angle from 90 degrees.
Let's assume the measure of the given angle is x degrees. Then, the measure of its complementary angle can be found by subtracting x from 90: 90 - x.
**Analyzing the Options**
a) Less than 45 degrees: This option is correct. Since the given angle is greater than 45 degrees, its complementary angle must be less than 45 degrees.
b) Equal to 45 degrees: This option is incorrect. The complementary angle is not equal to the given angle.
c) Greater than 45 degrees: This option is incorrect. The complementary angle cannot be greater than the given angle.
d) Equal to 90 degrees: This option is incorrect. The complementary angle is always less than 90 degrees.
Therefore, the correct answer is option 'A' - Less than 45 degrees.
**Conclusion**
The measure of the complementary angle of an angle greater than 45 degrees is always less than 45 degrees. When finding the complementary angle, we subtract the measure of the given angle from 90 degrees.
Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when you add the measures of two complementary angles, the total is always 90 degrees.
**Angle Greater than 45 degrees**
Let's consider an angle that is greater than 45 degrees. Since the sum of complementary angles is always 90 degrees, we can say that the measure of this angle plus the measure of its complementary angle will equal 90 degrees.
**Finding the Complementary Angle**
To find the measure of the complementary angle, we subtract the measure of the given angle from 90 degrees.
Let's assume the measure of the given angle is x degrees. Then, the measure of its complementary angle can be found by subtracting x from 90: 90 - x.
**Analyzing the Options**
a) Less than 45 degrees: This option is correct. Since the given angle is greater than 45 degrees, its complementary angle must be less than 45 degrees.
b) Equal to 45 degrees: This option is incorrect. The complementary angle is not equal to the given angle.
c) Greater than 45 degrees: This option is incorrect. The complementary angle cannot be greater than the given angle.
d) Equal to 90 degrees: This option is incorrect. The complementary angle is always less than 90 degrees.
Therefore, the correct answer is option 'A' - Less than 45 degrees.
**Conclusion**
The measure of the complementary angle of an angle greater than 45 degrees is always less than 45 degrees. When finding the complementary angle, we subtract the measure of the given angle from 90 degrees.
Community Answer
What is the measure of a comple-mentary angle of an angle greater than...
Less than 45 degree
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What is the measure of a comple-mentary angle of an angle greater than45o?a)Less than45ob)Equal to45oc)Greater than45od)Equal to90oCorrect answer is option 'A'. Can you explain this answer?
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