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The ratio of two interior angles on the ...

The ratio of two interior angles on the same side of the transversal is 2:3 , the measure of difference of both the angles is -

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Sum of the interior angles on the same side of a transversal is 360^(@)

For parallel lines the sum of interior angles on the same side of a transversal is :

In the figure identify. The pairs of interior angles on the same side of the transversal.

Property 3 The sum of the interior (or exterior) angles on the same sides of the transversal is 180^(@). In other words the interior (or exterior) angles on the same side of the transversal are supplementary.

In the adjoining identify the paris of interior angles on the same side of the transversal.

Theorem 6.5 : If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.

Theorem 6.5 : If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180^@ , then the lines are .......... .