The parallelogram ABCD is shown below.
What type of angles are indicated in the figure?
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The parallelogram ABCD is shown below.
What type of angles are indicated in the figure?
To determine the type of angles indicated in a parallelogram, it is crucial to understand the properties of the angles formed by its parallel sides. In any parallelogram, opposite sides are parallel. This means the angles on the same side of the transversal formed by these parallel lines are co-interior angles.
For a parallelogram , let's focus on the consecutive angles: angle and angle , or angle and angle . These consecutive angles are on the same side of the traversal created by the sides. According to the properties of a parallelogram, consecutive angles are supplementary, meaning they add up to .
In the context of parallel lines and a transversal, such consecutive interior angles are known as "co-interior" angles. They are supplementary and occur when the traversal cuts across the parallel sides of the parallelogram.
Thus, the type of angles indicated in the figure for the parallelogram are co-interior angles.
Therefore, the correct answer to this problem is Co-interior.
Co-interior
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
Co-interior means "together inside" - they're on the same side of the transversal and add up to . Alternate means they alternate sides and are equal!
Because opposite sides of a parallelogram are parallel! When a transversal cuts parallel lines, co-interior angles must add to - it's a fundamental property.
Yes! Any two consecutive angles in a parallelogram are co-interior because they're on the same side of the transversal formed by the parallel sides.
The angles could still be co-interior by position, but they wouldn't necessarily be supplementary. The rule only works when the lines are parallel!
Look for the line that cuts across the parallel sides. In parallelogram ABCD, sides AD and BC act as transversals cutting the parallel sides AB and DC.
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