Chapter 11.1, Problem 36HP

To determine

The measures of other seven angles when a transversal makes an exterior 90 degree angle with two given parallel lines.

Answer to Problem 36HP

Measure of each of remaining seven angles will also be 90 degree each.

Explanation of Solution

Given information: Two parallel lines are cut by a transversal that makes an exterior angle of 90 degree with these lines.

Concept used:

As, two parallel lines are cut by a transversal that makes an exterior angle of 90 degree with these lines, that means this line is perpendicular to both the parallel lines.

Calculation:

By above concept, it always forms an angle of 90 degree at the intersection point of two perpendicular lines. Thus, angle measure of each of remaining seven angles, forming on these intersection points will be 90 degree.

Conclusion: By above fact, it is cleared that each of remaining seven angles will be of 90 degree.