Math, asked by jigneshpatel78, 3 months ago

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Alteranate Interior angles have
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Answered by divenshi15154213
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Answer:

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Answered by mamathathallapelli52
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Answer:

In this article, we are going to learn another special type of angle formed when parallel or non-parallel lines are intersected by a transversal line.

As you know, parallel lines are two or more lines which never meet, whereas, a transversal line is a straight line which intersects two or more parallel lines.

To know the other related definitions of angles and different types of angles, you can consult the previous articles.

What are the Alternate Interior Angles?

Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.

Alternate interior angles are equal if the lines intersected by the transversal are parallel. Alternate interior angles formed when a transversal crosses two non-parallel lines have no geometrical relation. Therefore, there is need to discuss angles here.

Illustration of alternate interior angles:

Consider the figure give above.

PQ and RS are the two parallel lines intersected by the transversal line. Therefore, the pairs of alternating interior angles are:

∠a & ∠ d

∠b & ∠

Hence, ∠a = ∠ d and ∠b = ∠c.

We can make the following observations about alternate interior angles:

Alternate interior angles are congruent.

Consecutive interior angles are supplementary. Consecutive interior angles are interior angles which are on the same side of the transversal line.

Alternate interior angles don’t have any specific properties in the case of non – parallel lines.

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