find the value of x and y. solution with full explanation
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Answer:
linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
All the types are discussed in detail and are supplemented with examples and short questions.
Under the topic pair of lines, various sub-sections are discussed namely:
Intersecting lines
Transversal
Angles made by a transversal
When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.
A transversal is a line that intersects two or more lines at distinct points.
Six angles discussed in this section:
1. Interior angles
2. Exterior angles
3. Pairs of Corresponding angles
4. Pairs of Alternate interior angles
5. Pairs of Alternate exterior angles
6. Pairs of interior angles on the same side of the transversal
Transversal of parallel lines
Subsequently the topic- Checking for Parallel Lines is also discussed in the chapter- Lines and Angles.
When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
When a transversal cuts two lines, such that pairs of alternate interior angles are equal, the lines have to be parallel.
When a transversal cuts two lines, such that pairs of interior angles on the same side of the transversal are supplementary, the lines have to be parallel.