What is the angle of n
1 answer:
Answer: 81 degrees
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Explanation:
The top and bottom lines are parallel as indicated by the same arrow markings on the lines.
Because they are parallel, this makes the angle x (see attached image) congruent to the 44 degree angle. They are alternate interior angles. So x = 44.
Using x = 44, we can find the angle y. Use the fact that all three angles of a triangle add to 180 degrees. We'll focus on the top triangle.
x+y+37 = 180
44+y+37 = 180 ... replace x with 44
y+44+37 = 180
y+81 = 180
y+81-81 = 180-81
y = 99
The last step we do is use this y value to find the value of n. Notice how the angle n and angle y combine to form a straight angle (aka straight line). So they add to 180 degrees
n+y = 180
n+99 = 180 ... replace y with 99
n+99-99 = 180-99
n = 81
which is the final answer
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Side Note: you can ignore the value of y if you want. Using the remote interior angle theorem, we add up the remote interior angles for the top triangle to get
x+37 = 44+37 = 81
which is the answer we got earlier.
-----------------------------------------------------------------------------------
-----------------------------------------------------------------------------------
Explanation:
The top and bottom lines are parallel as indicated by the same arrow markings on the lines.
Because they are parallel, this makes the angle x (see attached image) congruent to the 44 degree angle. They are alternate interior angles. So x = 44.
Using x = 44, we can find the angle y. Use the fact that all three angles of a triangle add to 180 degrees. We'll focus on the top triangle.
x+y+37 = 180
44+y+37 = 180 ... replace x with 44
y+44+37 = 180
y+81 = 180
y+81-81 = 180-81
y = 99
The last step we do is use this y value to find the value of n. Notice how the angle n and angle y combine to form a straight angle (aka straight line). So they add to 180 degrees
n+y = 180
n+99 = 180 ... replace y with 99
n+99-99 = 180-99
n = 81
which is the final answer
-----------------------------------------
Side Note: you can ignore the value of y if you want. Using the remote interior angle theorem, we add up the remote interior angles for the top triangle to get
x+37 = 44+37 = 81
which is the answer we got earlier.
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