Question

Represent and explain the types of angles formed by two non-parallel lines and their transversal

Answer 1

Step-by-step explanation:

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Answer 2

Types of angles  

Explanation:

In the diagram attached with this , lines a and b are crossed by line p. Line p is called transversal as it intersects two other lines. The result of this intersection is 8 angles formed.

1. ∠1 and ∠2 are linear pair angles as they share a side and are    adjacent.   There are many other linear pairs such as ∠2 & ∠3, ∠1 &  ∠8, ∠7 & ∠4,  ∠7 & ∠6, ∠4 & ∠5. These are supplementary angle(sum is 180°) .
2. Corresponding angles are in the same position at each intersection.∠1 & ∠7, ∠8 & ∠6, ∠2 & ∠4, ∠5 & ∠3 are corresponding angles.
3. Alternate interior angles are the angles in the interior region and opposite sides of the transversal. ∠4 & ∠8 , ∠7 & ∠3 are the example of alternate interior angles.  
4. Alternate exterior angles are the angles in the exterior region and opposite sides of the transversal. ∠2 & ∠6, ∠1 & 5 are its example.
5. Consecutive interior angles are the angles on the same side interior region. ∠3 & ∠4 and ∠8 & ∠7 are example.