Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EP is perpendicular to AB.
The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD is​

Answer 1

ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EP is perpendicular to AB.

The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD is​Step-by-step explanation:

Answer 2

8 right angles

Explanation:

1. If two lines are perpendicular then we know they form 4 right angles, so EP and AB from 4 right angles.

2. The question states that AB and CD are parallel. Since we know EP is intersecting AB and CD, we can say that EP is perpendicular to CD as well because of a theorem that states, "...that if there are two parallel lines in the same plane and there is a line perpendicular to one of them, then it is also perpendicular to the other one."

3. So because of that theroem, we can add another 4 right angles from the intersection of EP and CD.

4. When you add all the right angles together, you get 8 right angles in total.