Frequently Asked Questions on Corresponding Angles

1. What is Meaning of Corresponding Angles?

Corresponding Angles means the angles that are formed on the similar corner and on the same sides when two parallel lines are cut by a transversal.

2. What are Complementary Corresponding Angles?

If the sum of the corresponding angles is complement to each other (i.e. they sum up to 90 degrees) they are said to be complementary corresponding angles.

3. What is Corresponding Angle Postulate?

The corresponding angles postulate states that the corresponding angles are congruent to each other if and only if the transversal intersects two parallel lines.

4. Are all Corresponding Angles always Equal?

No, corresponding angles are not always equal, they are equal only when the transversal intersects the two parallel lines.

5. What are Supplementary Corresponding Angles?

If the sum of corresponding angles is supplementary to each other (i.e. they sum up to 180 degrees) they are said to be supplementary corresponding angles. This is only possible when the transversal intersects the parallel lines perpendicularly.

6. Are Corresponding Angles Congruent?

Yes, the corresponding angles formed by parallel lines and transversal lines are congruent.

7. Do Corresponding Angles Equal 180°?

No, corresponding angles do not always sum up to 180°.



Corresponding Angles

Corresponding Angles are the relative angles formed on the corresponding corners when a transversal line intersects two other lines. Corresponding angles have important applications in the field of mathematics and physics. It helps to solve geometry problems, like finding unknown angles or determining congruent angles and figures. The real-life example based on the use of corresponding angles can be seen in railway tracks and Rubik’s cube.

In this article, we will learn about the corresponding angle, along with its definition, theorems, and some examples for better understanding.

Table of Content

  • What are Corresponding Angles?
  • Corresponding Angles Types
  • Corresponding Angle Theorem
  • How to Find Corresponding Angles?
  • Corresponding Angles Application

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What are Corresponding Angles?

When two lines are intersected by another line (called a transversal line), then four interior and four exterior angles are formed. Each of the angles are related to each other. One such relation is corresponding angles. The word “corresponding” itself means something similar or equivalent. Hence, the corresponding angles are the angles formed on the corresponding corners of the same side of the transversal. There are a total of four pairs of corresponding angles formed by a transversal line. The corresponding angles are illustrated below:...

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Step 1: Draw a pair of lines intersected by a transversal and name all the interior and exterior angles as shown in the figure below....

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Example 1: If two corresponding angles formed by parallel lines are 2x + 1 and 87. Find the value of x....

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Frequently Asked Questions on Corresponding Angles

1. What is Meaning of Corresponding Angles?...