# If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 20°, find the angles

**Solution:**

Given, a __transversal__ intersects two parallel lines.

The difference of two interior angles on the same side of a transversal is 20°.

We have to determine the angles.

Consider two __parallel lines__ l and m with P as a transversal,

Let the two interior angles be x and y.

According to the question,

x - y = 20°

So, y = x - 20°

If two parallel lines are intersected by a transversal, each pair of interior angles on the same side of the transversal is __supplementary__.

So, x + y = 180°

x + x - 20° = 180°

2x = 180° + 20°

2x = 200°

x = 200°/2

x = 100°

Now, y = 100° - 20° = 80°

Therefore, the angles are 100° and 80°.

**✦ Try This: **If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 40°, find the angles.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 5

**NCERT Exemplar Class 7 Maths Chapter 5 Problem 96**

## If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 20°, find the angles

**Summary:**

If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 20°, the angles are 100° and 80°

**☛ Related Questions:**

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