Question

Short questions:

Mark Division :1

What is Parallel lines?
What is Vertically Opposite Angle?

What is Corresponding angles?

What is Linear pair of angles?

What is Supplementary angles?
What is Complementary angles?


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Answer 1

1. In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.
2. Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.
3. Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
4. A linear pair is a pair of adjacent angles formed when two lines intersect. In the figure, ∠1 and ∠2 form a linear pair. So do ∠2 and ∠3 , ∠3 and ∠4 , and ∠1 and ∠4 .
5. Two angles are called supplementary when their measures add up to 180 degrees.
6. Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.

Answer 2

$\: \: \: \: \:{\large{\pmb{\sf{\underline{ Here's \: your \: required \: Answers!! }}}}}$

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are \: Parallel \: lines? }}}}}}$

• Two different lines in a plane are said to be parallel. If there is no point common in them even through these lines are extended on both sides to any extent.
• You have to know , all this relation which formed when two lines are parallel and a transversal line intersecting it at some point.

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are\: vertically \: opposite \: angles? }}}}}}$

• Two angles are called a pair of vertically opposite angles, if their arms form two pairs of opposite rays.

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are \: corresponding \: angles? }}}}}}$

• The angles which occupy the same relative position at each intersection where a straight line crosses two others are known as corresponding angles. If the two lines are parallel, the corresponding angles are equal.

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are \: linear \: pair \: of \: angles? }}}}}}$

• Two adjacent angles of which different arms are opposite rays are called linear pair of angles.

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are \: supplementary \: angles? }}}}}}$

• If the sum of two angles is 180°, these are called supplementary angles.
• For example, angles measuring 30° and 60° are complementary angles as their sum is equal to 90° (30°+ 60° = 90°).

${\bigstar \:{\underline{\pmb{\sf{\green{What \: are \: complementary \: angles? }}}}}}$

• Two angles, the sum whose measure is 90°, are called complementary angles.
• For example, angles measuring 30° and 60° are complementary angles as their sum is equal to 90° (30°+ 60° = 90°).