Alternate Angles


 
 
Concept Explanation
 

Alternate Angles

ALTERNATE ANGLES:

Two angles, formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines. If the two lines crossed are parallel, the alternate angles are equal.

Alternate interior angles: Alternate interior angles are the pair of angles lying in the region between the two lines (intersected by a transversal) and on the opposite sides of the transversal but one below the transversal and other above the transversal.In the adjoining figure large (angle 4&angle 5) and (angle 3&angle 6) are pair of alternate interior angles.

Alternate exterior angles : Alternate exterior anfles are the pair of angles lying outside the region between the two lines (intersected by a transversal) and on the opposite sides of the tansversal but one below the transversal and other above the transversal. In the given figure (angle 1&angle 8) and (angle 2&angle 7) are pair of alternate exterior angles.

Example: Find the angle which is alternate to <7, <6, and <1:

Solution:

  • Angle alternate to <7 = <2, these are alternate exterior angles
  • Angle alternate to <6 = <3, these are alternate interior angles
  • Angle alternate to <1 = <8, these are alternate exterior angles
  • Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    In the given figure,AB || DE,angle BAC=35^{0}  and angle CDE=53^{0}.Find angle DCE.

    Right Option : A
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    Explanation
    Question : 2

    Which are alternate angles in the following diagram

    Right Option : D
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    Explanation
    Question : 3

    Find the alternate angle to b:

    Right Option : B
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    Explanation
     
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