-2/5, -5/11, -9/11 parallel line
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Step-by-step explanation:
Parallel Lines and Angle Relationships
Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.
Also, when a transversal intersects two parallel lines, then pairs of angles are formed, such as:
Corresponding angles
Alternate interior angles
Alternate exterior angles
Vertically opposite angles
Linear pair
If two lines are intersecting each other at a point, in a plane, they are called intersecting lines. If they meet each other at 90 degrees, then they are called perpendicular lines.
Definition
Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross path with each other are parallel to each other. The symbol for showing parallel lines is ‘||’.
Two lines which are parallel are represented as AB←→||CD←→, which means that the line AB←→ is parallel to CD←→.The perpendicular distance between the two parallel lines is always constant.
Parallel lines 1
In the figure shown above, the line segment PQ¯¯¯¯¯¯¯¯ and RS¯¯¯¯¯¯¯ represent two parallel lines as they have no common intersection point in the given plane. Infinite parallel lines can be drawn parallel to PQ←→ and RS←→ in the given plane.
Pairs of Angles
Lines can either be parallel or intersecting. When two lines meet at a point in a plane, they are known as intersecting lines. If a line intersects two or more lines at distinct points then it is known as a transversal line.
In figure 2, line l intersects lines a and b at points P and Q respectively. The line l is the transversal here.
∠1,∠2,∠7 and ∠8 are the exterior angles and ∠3,∠4,∠5 and ∠6 denote the interior angles.
The angle pairs formed due to intersection by a transversal are named as follows:
Corresponding Angles: ∠1 and ∠6; ∠4 and ∠8; ∠2 and ∠5; ∠3 and ∠7 are the corresponding pair of angles.
Alternate Interior Angles: ∠4 and ∠5 ; ∠3 and ∠6 denote the pair of alternate interior angles.
Alternate Exterior Angles: ∠1 and ∠7; ∠2 and ∠8 are the alternate exterior angles.
Same side Interior Angles: ∠3 and ∠5; ∠4 and ∠6 denote the interior angles on the same side of the transversal or co-interior or consecutive interior angles.