What will be the sum of the two angles to make it complementary?a)180&...
Understanding Complementary Angles
Complementary angles are two angles that, when added together, equal 90 degrees. This is a fundamental concept in geometry that is crucial for various applications in mathematics.
Defining the Sum
To determine what the sum of two angles needs to be to be considered complementary, we can use the definition:
- Complementary angles: Sum = 90 degrees
Analyzing the Options
Let's examine the options provided:
- Option A: 180 degrees
- This sum refers to supplementary angles, not complementary.
- Option B: 60 degrees
- This is too small, as two angles adding to 60 degrees cannot be complementary.
- Option C: 45 degrees
- This is also inadequate since it does not meet the requirement for complementary angles.
- Option D: 90 degrees
- This is indeed the correct sum for complementary angles.
Conclusion
Therefore, the correct answer is option 'D', which states that the sum of the two angles to make them complementary is 90 degrees. Understanding this concept helps in solving various geometric problems and is essential for further studies in mathematics.
What will be the sum of the two angles to make it complementary?a)180&...
The solution is based on the concept of complementary angles.
- Complementary angles are two angles whose measures add up to 90°.
- This means the sum of the measures of these angles is always 90°.