Answer:
<h2>The obtuse angle is 120°.</h2><h2>The acute angle is 60°.</h2>
Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
Where 
is an acute angle and 
is an obtuse angle.}
Using all the given information, we have
Solving for , we have
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Answer:
I believe your answer you are looking for is the 3rd option. C
Step-by-step explanation:
Set up a system of equations and say green route is x and blue route is y
This will give you
Monday 6x + 5y= 52
Tuesday 12x + 13y = 119
Solve by multiplying the top equation by two to get
12x + 10y= 104
Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with
-3y=-15
Y=5
The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday
12x + 13 (5) = 119
12x= 54
X= 4.5
This means that the answer is B, 4.5 miles
