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Course / Category - 6th Foundation NTSE

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Maths / Lines and Angles / Co Interior Angles

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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.

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Co Interior Angles

₹12300 ₹8000 +
Taxes