A rhombus has a pair of opposite equal acute angles and a pair of opposite equal obtuse angles and the four angles add up to 360 degrees.
Not necessarily. A linear pair of angles must be supplementary but supplementary angles need not form a linear pair. For example, the opposite angles of a cyclic quadrilateral are supplementary but they are (by definition) not next to one another.
Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. Angles cannot be parallel since that is a characteristic of lines, not angles!
Ordinarily, yes: one is acute (less than 90 degrees) and one is obtuse (more than 90 degrees), such that their sum is 180 degrees. The exception is if both angles are right angles (2 x 90 degrees).
No, a trapezoid does not have four obtuse angles. A trapezoid has one pair of parallel sides and the other pair of non-parallel sides. The angles of a trapezoid can be a combination of acute, obtuse, and right angles, but it cannot have four obtuse angles.
No.No.No.No.
The two angles of a linear pair must add to 180 degrees. So if one is less than 90 degrees (acute) the other must be more than 90 degrees (obtuse).
True , but remember there cannot be two obtuse. Must be one acute & one obtuse. * * * * * NOT always true. Both may be right angles.
A rhombus has a pair of opposite equal acute angles and a pair of opposite equal obtuse angles and the four angles add up to 360 degrees.
Not necessarily. A linear pair of angles must be supplementary but supplementary angles need not form a linear pair. For example, the opposite angles of a cyclic quadrilateral are supplementary but they are (by definition) not next to one another.
One pair of equal acute angles and a pair of equal supplementary (obtuse) angles.
Oh, isn't that interesting? When we have a linear pair of angles, one angle is always supplementary to the other. So if one angle is obtuse, which means it's more than 90 degrees, then the other angle must be acute, which means it's less than 90 degrees. It's all about balancing each other out, just like adding a touch of light to a dark painting to create harmony.
If the 2 acute angles are equal and the 2 obtuse angles are equal then it could be a 4 sided quadrilateral in the form of a parallelogram or a rhombus
Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. Angles cannot be parallel since that is a characteristic of lines, not angles!
Exterior Angles
Ordinarily, yes: one is acute (less than 90 degrees) and one is obtuse (more than 90 degrees), such that their sum is 180 degrees. The exception is if both angles are right angles (2 x 90 degrees).
A linear pair is two angles that add up to be 180o.A linear pair is two adjacent, supplementary angles.Adjacent means they share ONE ray.Supplementary means add up to be 180o.Complementary means they add up to be 90o.No, complementary angles cannot EVER form a linear pair.