Respuesta :
Question Completion
- What is the angle between Main Street and the west path?
- What is the angle between the west path and Willow Lane?
Answer:
[tex](a)120^\circ\\(b)60^\circ[/tex]
Step-by-step explanation:
In the diagram BC(Main Street) is parallel to AD(Willow Lane)
Therefore, ABCD is a Trapezoid.
Since in a trapezoid, adjacent angles are supplementary
Therefore:
[tex]\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ[/tex]
Since [tex]AB \cong CD[/tex], ABCD is an Isosceles Trapezoid.
In an Isosceles trapezoid, the base angles are congruent:
Therefore:[tex]\angle A \cong \angle D$ and \angle B \cong \angle C[/tex]
Therefore:
[tex]\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ[/tex]
(a)
The angle between Main Street and the west path is [tex]\angle CBA = 120^\circ[/tex]
(b)
The angle between the west path and Willow Lane is [tex]\angle BAD =60^\circ[/tex]
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Answer:
What is the angle between Main Street and the west path?
✔ 120°
What is the angle between the west path and Willow Lane?
✔ 60°
Step-by-step explanation:
Edge2021 :D
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