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If two angles are complementary the sum of their measures is 90 degrees. Two angles are complementary angles if and only if the sum of their measures is 90 degrees.?
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Can an obtuse angle be both complementary and supplementary?
No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.
Are congruent angles always 45º?
No, not all congruent angles are 45 degrees. They only are in complementary congruent angles.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
How can an angle have the same measure of its complement?
Complementary angles are 2 angles adding up to 90 degrees, so the only measurement complementary angles could have that would be matching would be 45 degrees, which is 90 divided by 2. :D
What are complementary angles always?
Complementary angles are angles that always add to 90° (ninety degrees). They are usually adjacent to each other, however in theory do not have to be. An example is: Angle "a" is 38°, and is situated next to, or adjacent to Angle "b" which is 52°. In this case, both angles (38 and 52) sum to ninety degrees, which means Angle a is complementary with, or to, Angle b. Another example is: Angle "a" is 56°, and is situated next to, or adjacent to Angle "b" which is 43°. In this case, both angles (56 and 43) do not sum to ninety degrees, which means Angle a is not complementary with, or to, Angle b. Complementary angles are studied in conjunction with supplementary angles (angles which sum to 180°) and angles at a point (angles which sum to 360°). Note: There does not have to be only two angles (however this is the minimum requirement, because a ninety degree angle can't have a complement of 0°). There can be three, five, ten, twenty, or whatever number of angles you wish (remember, you are not limited to there being ninety one degree angles because angles can have decimal points too, i.e. 56.32°). Hope this helped.
Can an obtuse angle be both complementary and supplementary?
No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.
How do you write the biconditional for If two angles are complementary then their sum is 90 degrees?
Two angles are complementary if and only if their sum is 90 degrees.
Can an angle be complementary only if it is ninety degrees?
Yes. Anything two angles that add to 90 degrees is complementary. Anything two angles that add to 180 degrees is supplementary.
Can one of two complementary angles be obtuse?
No, one of two complementary angles cannot be obtuse, because only two acute angles that add up to 90 degrees are complementary and that an obtuse angle on its own is greater than 90 degrees.
Are congruent angles always 45º?
No, not all congruent angles are 45 degrees. They only are in complementary congruent angles.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
Is a quadrilateral with Consecutive angles are complementary?
It is an impossible quadrilateral since its angles would not sum to 360 degrees but only 180 degrees.
Do the angles in complementary and supplementary angles have to be adajacent to each other?
No, complementary angles need to ADD and EQUAL 90 degrees. Supplementary angles need to ADD/EQUAL 180 degrees. They do not necessarily need to be adjacent to each other, they only have to add up... Complementary = 90, Supplementary = 180
Is the total of the measures of two angles is 180 degrees?
Only when they are supplementary angles
How can an angle have the same measure of its complement?
Complementary angles are 2 angles adding up to 90 degrees, so the only measurement complementary angles could have that would be matching would be 45 degrees, which is 90 divided by 2. :D
Can three angles be complementary?
No only two angles can be complementary
Is the sum of the measures of the angles of a quadrilateral equal to 180 degrees?
No. Only the sum of the measures of the angles of a triangle equal to 180 degrees; in the case of a quadrilateral it amounts to 360 degrees.
