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If one arm of an angle is respectively parallel to the arm of another angle formed with a common line between them, then the two angles are
- a)Neither equal nor supplementary
- b)not equal but supplementary
- c)equal but not supplementary
- d)Either equal or supplementary
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If one arm of an angle is respectively parallel to the arm of another ...
If one arm of an angle is respectively parallel to the arm of another angle formed with a common line between them, then the two angles are not equal but supplementary.
If l1 || l2 ⇒ ∠1 + ∠2 = 180°
(Supplementary)
If l1 || l2 ⇒ ∠1 + ∠2 = 180°
(Supplementary)
Hence, option B is correct.
Most Upvoted Answer
If one arm of an angle is respectively parallel to the arm of another ...
Explanation:
When two angles have one arm parallel to the arm of another angle, and they are formed with a common line between them, they are called corresponding angles. In this case, the two angles are not equal, but they are supplementary.
Corresponding Angles:
When two lines are intersected by a transversal, the angles formed on the same side of the transversal and in the same relative position are called corresponding angles.
Parallel Lines:
Parallel lines are lines that are always the same distance apart and never intersect. When two lines are parallel, the corresponding angles formed by the transversal are equal.
Supplementary Angles:
Supplementary angles are two angles that add up to 180 degrees. In other words, if the sum of two angles is 180 degrees, they are supplementary.
Explanation of the Answer:
In this question, it is given that one arm of an angle is parallel to the arm of another angle formed with a common line between them. This means that the corresponding angles formed by the transversal are equal. However, since the two angles are not equal, they cannot be congruent.
The angles are formed on the same side of the transversal and in the same relative position, so they are corresponding angles. Since corresponding angles are equal, the two angles are not equal but supplementary. This means that the sum of the two angles is 180 degrees.
Therefore, the correct answer is option B: the two angles are not equal but supplementary.
When two angles have one arm parallel to the arm of another angle, and they are formed with a common line between them, they are called corresponding angles. In this case, the two angles are not equal, but they are supplementary.
Corresponding Angles:
When two lines are intersected by a transversal, the angles formed on the same side of the transversal and in the same relative position are called corresponding angles.
Parallel Lines:
Parallel lines are lines that are always the same distance apart and never intersect. When two lines are parallel, the corresponding angles formed by the transversal are equal.
Supplementary Angles:
Supplementary angles are two angles that add up to 180 degrees. In other words, if the sum of two angles is 180 degrees, they are supplementary.
Explanation of the Answer:
In this question, it is given that one arm of an angle is parallel to the arm of another angle formed with a common line between them. This means that the corresponding angles formed by the transversal are equal. However, since the two angles are not equal, they cannot be congruent.
The angles are formed on the same side of the transversal and in the same relative position, so they are corresponding angles. Since corresponding angles are equal, the two angles are not equal but supplementary. This means that the sum of the two angles is 180 degrees.
Therefore, the correct answer is option B: the two angles are not equal but supplementary.
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Community Answer
If one arm of an angle is respectively parallel to the arm of another ...
If one arm of an angle is respectively parallel to the arm of another angle formed with a common line between them, then the two angles are not equal but supplementary.
If l1 || l2 ⇒ ∠1 + ∠2 = 180°
(Supplementary)
If l1 || l2 ⇒ ∠1 + ∠2 = 180°
(Supplementary)
Hence, option B is correct.
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If one arm of an angle is respectively parallel to the arm of another angle formed with a common line between them, then the two angles area)Neither equal nor supplementaryb)not equal but supplementaryc)equal but not supplementaryd)Either equal or supplementaryCorrect answer is option 'B'. Can you explain this answer?
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