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 (mangle 1)?

(25^circ)
(35^circ)
(145^circ)
(155^circ)

Explanation:

Identify corresponding angle

$$ \theta_{\text{corresponding}} = 155^\circ $$

Apply supplementary angles relation

$$ m\angle 1 + 155^\circ = 180^\circ $$

Solve for the angle measure

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

Answer:

• (A) 25° (Correct answer)
• (B) 35°
• (C) 145°
• (D) 155°