Parallel Lines 11

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    • Consecutive Interior Angles
    • Consecutive Interior Angles Test
    • Converse of Consecutive Interior Angles Test
    • Summary
    • What’s Next?

    In the previous segment, we learnt about the Corresponding angles test. In this segment, we will understand the Consecutive interior angles test.

    What are Consecutive interior angles?

    Interior angles on the same side of the transversal are called Consecutive interior angles.

    Consider two parallel lines p and q, and a transversal r that intersects both those lines. 8 angles are formed as shown in the figure.

    Fig. 1

    In the above figure, the two pairs of consecutive interior angles are:

    1. ∠3 and ∠6
    2. ∠4 and ∠5

    What is the Consecutive interior angles test?

    The consecutive interior angles test says that if a pair of consecutive interior angles are supplementary, then the two lines are parallel.

    Given:

    ∠3 + ∠6 = 180°

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