Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.
2 answers:
<u>Question</u>:
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.
What is the m∠1?
25°
35°
145°
155°
The image of the plan is attached below.
<u>Given</u>:
The streets represented by lines V and W are parallel.
We need to determine the measure of ∠1.
<u>Measure of ∠1:</u>
When two parallel lines are crossed by the transversal line, the angles in the matching corners is called as corresponding angles. And the measure of the corresponding angles are always equal.
From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.
Thus, the measure of ∠1 is 155°
Hence, Option D is the correct answer.
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Answer:
- y = 242.4
- x = 437.3
First find the inner angle:
- 90° - 29°
- 61°
[ given hypotenuse = 500 ft ]
using sine rule:
using pythagoras theorem:
- a² + b² = c²
- y² + (437.3)² = 500²
- y = √58760.1
- y = 242.4