Question

3 - 1 parallel lines and transversals

1. connecting to real life you are constructing a fence on a hill with a 25° incline. at what angles do you need to attach a panel to two parallel fence posts so that the panel is parallel to the incline of the hill?

Explanation:

Step1: Recall angle - parallel line relationships

When constructing a fence panel parallel to the incline of the hill with an incline of 25°, we use the property of corresponding angles.

Step2: Determine the attachment angles

The angles at which the panel is attached to the fence - posts should be such that the angles formed with the horizontal (or a reference line) are equal to the angle of the incline of the hill and its supplementary angle.
The angle of attachment to make the panel parallel to the incline of the hill is 25° and 180 - 25=155°.

Answer:

25° and 155°