The value of x and y given in this graph is
x = 75 degree
y = 110 degree
According to the given data,
x + 20 + 10 = 180 °
2x + 30 = 180 °
2x = 150 °
x = 75 °
because line m ║ line n
so ∠OMP = x + 20 = 95 °
so in MONP = x + 10 + x + 20 +[tex]\int\limits^[/tex] +[tex]\int\limits^[/tex] - 40 = 360 °
⇒ 180 +2 [tex]\int\limits^[/tex] - 40 = 360 °
⇒ 2 [tex]\int\limits^[/tex] - 40 =180 °
⇒ 2 [tex]\int\limits^[/tex] = 220 °
⇒ [tex]\int\limits^[/tex] = 110 °
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Sides of various shapes are parallel to each other. In the rectangle given below, the single arrow lines are parallel to each other, and similarly, the double arrow lines are also parallel to each other.
Parallel lines are represented with a pair of vertical lines between the names of the lines, using the sign: ︳︳
A transversal is a line that intersects two parallel lines (or lines on a plane) at different intersecting points, forming angles.
Parallel lines can be easily identified using the following fundamental properties and characteristics:
They are always straight lines with an equal distance between each other.
They are coplanar lines.
They never intersect, no matter how far you try to extend them in any given direction.
If there is a transversal line that intersects two parallel lines at two different points, it will form 4 angles at each point.
The corresponding angles formed by the two parallel lines and a transversal are equal.
Linear equations are generally described by the slope-intercept represented by the equation .
Where “m” is the slope, “b” is the y-intercept, and y and x are variables.
The value of “m” determines the slope and indicates the steep slope of the line.
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