Question

carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
examine carmens rail plans to identify the measure of \\(\angle 1\\). the streets represented by lines v and w are parallel.
what is the \\(m\angle 1\\)?
\\(25^\circ\\)
\\(35^\circ\\)
\\(145^\circ\\)
\\(155^\circ\\)

Explanation:

Identify the alternate interior angle

$$ \angle 2 = 180^\circ - 155^\circ = 25^\circ $$

Solve for the measure of angle 1

$$ m\angle 1 = 180^\circ - m\angle 2 = 180^\circ - 25^\circ = 155^\circ $$

Answer:

• (A) \(25^\circ\)
• (B) \(35^\circ\)
• (C) \(145^\circ\)
• (D) \(155^\circ\) (Correct answer)