Co Interior Angles


 
 
Concept Explanation
 

Co Interior Angles

Co Interior Angles:

Co-interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give small 180^0 and so are supplementary.

In figure, the following pairs of angles are called pairs of consecutive interior angles: (i)angle 2;and;angle 5;;;;;(ii)angle 3;and;angle 8

Example: Identify co - interior angles from the given figure:

Solution: <2 and <5 are co - interior <2 + <5 = 180.

<3 and <8 are co - interior <3 + <8 = 180.

From the above discussion, we can conclude by considering two parallel lines AB and CD and a transversal L intersects them:

  • (i) each pair of corresponding angles are equal
  • (ii) each pair of alternate interior angles are equal and,
  • (iii) each pair of consecutive interior angles are supplementary.
  • The converse of each of the above statements is also true.

      
    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    If large 2x-30^o and large x^o are co interior angles. Find the value of x:

    Right Option : D
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    Question : 2

    In the given figure, if  large angle AOB=35^0,angle COD=40^0 and large angle AOD=109^0,  then find the measure of angle BOC

    Right Option : C
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    Explanation
    Question : 3

    Are the lines m and l parallel, then the angles shown in the image are:

    Right Option : B
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    Explanation
     
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