What is the definition of complimentary angles? a. Two angles that add to be 180°
b. Two angles that have a difference of 90°
c. Two angles add to be 90°
d. Two angles that have a difference of 180°
I think the answer is B.
No.
http://www.mathsisfun.com/geometry/complementary-angles.html
To determine the correct answer, let's first understand the definition of complimentary angles.
Complementary angles are a pair of angles that add up to 90 degrees. In other words, when you add the measures of two complimentary angles, the sum is always 90 degrees.
Now, let's analyze the options provided:
a. Two angles that add to be 180° - This statement describes a pair of angles that are supplementary, not complementary. Supplementary angles add up to 180 degrees, not 90 degrees.
b. Two angles that have a difference of 90° - This statement accurately describes the definition of complementary angles. When the difference between two angles is 90 degrees, they are considered complementary.
c. Two angles add to be 90° - This choice is essentially the definition of complementary angles, so it is incorrect.
d. Two angles that have a difference of 180° - This statement describes a pair of angles that are supplementary, not complementary. As mentioned earlier, supplementary angles add up to 180 degrees.
Based on the explanation and definitions provided, the correct answer is indeed option B: Two angles that have a difference of 90°.