What are Corresponding Angles?

The two lines are cut or crossed by third line is known as traversal and the angle formed by matching the corners is known as Corresponding Angles. Corresponding angles are two congruent angles which are lying on the same side of the traversal. Here in the below diagram we have to show what are corresponding angles?

In this diagram the ∠s is equal to the ∠v,

And ∠p is equal to ∠w,

And ∠r is equal to ∠u,

And ∠q is equal to ∠t.

Example: - In the given figure, if the angle ‘a’ is 42 degree, and then finds the other seven angles and shows that it follows the property of corresponding angles.

Solution: Given that ∠s = 62 degree and ‘∠v’ and ‘∠s’ are both corresponding angles. So, the angles ‘∠v’ and ‘∠s’ are equal. Therefore ∠v = 42 degree.

We know that a straight angle has a measure of 180 degree. so, ∠s  + ∠r = 180 degree.

42 + ∠r = 180,

∠r = 180 – 42,

∠r = 138,

 Here ∠r and ∠u are corresponding angles. Therefore, ∠r and ∠u are equal. Therefore, ∠u is also 138 degree.

We know that, a straight angle has a measure of 180 degree. So, ∠p +∠q= 180 degree.

42 + ∠q= 180,

∠q = 180 – 42,

∠q = 138,

Here, ∠q and ∠tare corresponding angles. Therefore, ∠q and ∠t are equal. Therefore, ∠w is also 138 degree.

We know that a straight angle has a measure of 180 degree. So, ∠q + ∠r= 180 degree.

138 + ∠r = 180,

∠r = 180 – 138,

∠r = 42,

Here, ∠q and ∠t are corresponding angles. Therefore, ∠r and ∠u are equal. Therefore, ∠r is also 42 degree.

So, ∠s = ∠v = ∠q = ∠t are 42 degree,

And ∠p = ∠w = ∠r = ∠u = 138 degree.