Question

if a transversal intersect two parallel lines and the ratio between interior angles on the same side of transversal is 3:1 then find the measure of the smaller angle​

Answer 1

Answer :

Given :

• Two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 3:1.

To find :

• The smaller angle in degree = ?

Step by Step Explanation :

Now,

Let the first interior angle be 3x.

Then, the second interior angle be 1x.

As we know that :

• Sum of interior angles on same side on transversal intersecting two parallel line is 180 degree.

Substitute the value we get,

3x + 1x = 180 degree

4x = 180 degree

x = 180 degree/4

x = 45 degree

• Therefore, we got the value of x = 45 degree.

So,

The first interior angle, 3x = 3 * 45 = 135 degree.

And second interior angle, 1x = 1 * 45 = 45 degree.

Hence, the smaller angle is 45 degree.

Hope this answer will help you !