Math

# Examples Of Corresponding Angles

Corresponding angles are formed when a third one intersects two parallel lines. The angles that occupy the same relative position at each intersection are known to be corresponding angles. This implies that two parallel lines must intersect by a transverse line for these angles to be formed.

In this article, we will look at and solve some examples of corresponding angles.

In the second diagram, <2 and <6, <3 and <7, <1 and <5, <4 and <8 are corresponding

## Theorem

If a transversal intersects two parallel lines, each pair of corresponding angles equals. Conversely, if a transversal intersects two lines such that a pair of corresponding angles is equal, the two lines are parallel.

## Examples

(1) Which of the following are corresponding angles?

Solution

The above diagram shows two parallel lines, i.e., line 1 || line 2, and a transverse line intersecting the parallel lines.

Therefore, the corresponding angles in the figure above are listed below:

<b and <f

<c and <g

<a and <e

<d and <h

(2) In the diagram below, K, m, and n are parallel lines. What is the value of the angle marked x?

Solution

Looking at the above figure keenly, a = 117 (corresponding angles are equal). Also, b = a = 117 (corresponding).

Then, b + x = 180 (the sum of angles on a straight is 180)

x + 117 = 180

x = 180 -117 = 63

So, the angle x is 63

### Bolarinwa Olajire

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