When a transversal intersects two parallel lines, the corresponding angles so formed will be **equal**

Corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

### Corresponding Angles Formed by Parallel Lines and Transversals

If a line or a transversal crosses any two given parallel lines, then the **corresponding angles formed have equal measure**. In the given figure, you can see, the two parallel lines are intersected by a transversal, which forms eight angles with the transversal. So, the angles formed by the first line with transversal have equal corresponding angles formed by the second line with the transversal.

### Solution

**Given **

The two corresponding angles given are (2b+15)oand(3b−7)o

**Find out**

We have to determine the value of b

**Solution**

From above information we have learnt that

If the lines are parallel, the corresponding angles are equal

(2b+15)o=(3b−7)o

-b= -22

b=22º

**Answer**

The value of b is 22º