Question

in exercises 3 - 6, decide whether there is enough information to prove that ( mparallel n ). if so, state the theorem you can use.

1. the angles formed between the braces and the wings of a biplane are shown in the figure. are the top and bottom wings of a biplane parallel? explain your reasoning.

Explanation:

Step1: Find the supplementary angles

The supplementary angle of \(145^{\circ}\) is \(180^{\circ}- 145^{\circ}=35^{\circ}\), and the supplementary angle of \(155^{\circ}\) is \(180^{\circ}-155^{\circ} = 25^{\circ}\).

Step2: Check the relationship of angles

Since \(35^{\circ}+25^{\circ}=60^{\circ}
eq180^{\circ}\), the consecutive - interior angles (the angles formed by the transversal (the brace) and the two lines (the top and bottom wings)) are not supplementary.

Answer:

No, the top and bottom wings of the biplane are not parallel.