A diagonal walkway cuts through a park bordered by two parallel streets. The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure.

Question 15 options:

A)
42

B)
48

C)
90

D)
138

Question

A diagonal walkway cuts through a park bordered by two parallel streets.  The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure.

Question 15 options:
	
A) 	
42

	
B) 	
48

	
C) 	
90

	
D) 	
138

anonymous · Answer

attachment

mathstudent55 · Answer

Is the question what is the measure of x?

anonymous · Answer

i have no clue....

mathstudent55 · Answer

That is all the question states? The problem does not ask a question.

ali2x2 · Answer

im stuck...

anonymous · Answer

exactly.... and yes that's the full question

mathstudent55 · Answer

Since I see an x in the figure, I'll assume the question is "what is the measure of the angle labeled x?"

mathstudent55 · Answer

Ok, here it is:
The streets are parallel.
Do you know about alternate interior angles?

anonymous · Answer

maybe... I'll be honest, we never learned how to do this. and yes.

mathstudent55 · Answer

Using parallel lines and a transversal, and alternate interior angles, what is the measure of angle a?
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anonymous · Answer

it would be 132

mathstudent55 · Answer

Yes. Let's write that.
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mathstudent55 · Answer

Using the figure above, can you find the measure of angle b?

mathstudent55 · Answer

What is the relationship between angles a and b?

anonymous · Answer

48 =b

anonymous · Answer

180-132=48

mathstudent55 · Answer

Great.
a and b are a linear pair. They are supplementary, so a + b = 180, and a = 132, so b = 148. Good.

mathstudent55 · Answer

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