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Which of the following is true the adjacent angles of a parallelogram?
- a)they are equal to each other
- b)they are complementary angles
- c)they are supplementary angles
- d)none of these.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following is true the adjacent angles of a parallelogram?...
Adjacent Angles in a Parallelogram
In a parallelogram, there are certain properties that hold true for its angles. One of these properties relates to adjacent angles, which are angles that share a common side. Here's what you need to know about adjacent angles in a parallelogram:
Definition of Adjacent Angles
Adjacent angles are angles that share a common vertex and a common side but do not overlap.
Properties of Adjacent Angles in a Parallelogram
In a parallelogram, adjacent angles have some specific properties:
- Adjacent angles are supplementary: This means that the sum of adjacent angles in a parallelogram is always 180 degrees. This property holds true for all types of parallelograms, whether they are rectangles, squares, or rhombuses.
- Adjacent angles are not equal: Unlike opposite angles in a parallelogram, which are always equal, adjacent angles are not equal. This means that if you know the measure of one adjacent angle in a parallelogram, you cannot assume that the other adjacent angle is the same measure.
Conclusion
So, the correct answer to the question is option B - adjacent angles in a parallelogram are complementary angles.
In a parallelogram, there are certain properties that hold true for its angles. One of these properties relates to adjacent angles, which are angles that share a common side. Here's what you need to know about adjacent angles in a parallelogram:
Definition of Adjacent Angles
Adjacent angles are angles that share a common vertex and a common side but do not overlap.
Properties of Adjacent Angles in a Parallelogram
In a parallelogram, adjacent angles have some specific properties:
- Adjacent angles are supplementary: This means that the sum of adjacent angles in a parallelogram is always 180 degrees. This property holds true for all types of parallelograms, whether they are rectangles, squares, or rhombuses.
- Adjacent angles are not equal: Unlike opposite angles in a parallelogram, which are always equal, adjacent angles are not equal. This means that if you know the measure of one adjacent angle in a parallelogram, you cannot assume that the other adjacent angle is the same measure.
Conclusion
So, the correct answer to the question is option B - adjacent angles in a parallelogram are complementary angles.
Community Answer
Which of the following is true the adjacent angles of a parallelogram?...
Option c
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Which of the following is true the adjacent angles of a parallelogram?a)they are equal to each otherb)they are complementary anglesc)they are supplementary anglesd)none of these.Correct answer is option 'B'. Can you explain this answer?
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