Question
Solve for xx. Round to the nearest tenth of a degree, if necessary.
M
N
O
20
43
x°
Answer
Attempt 1 out of 2
x, equalsx=
M
N
O
20
43
x°
Answer
Attempt 1 out of 2
x, equalsx=
Answers
GPT-4o mini
To solve for \( x \) using the information provided, we assume that points M, N, and O correspond to an angle or some relationship in a triangle. Given the numbers associated with these points (20, 43, and \( x \)), we can set up the equation based on the fact that the sum of the angles in a triangle is always 180 degrees.
Therefore, we have:
\[
20^\circ + 43^\circ + x^\circ = 180^\circ
\]
Now, combine the known angles:
\[
63^\circ + x^\circ = 180^\circ
\]
Next, isolate \( x \) by subtracting 63 degrees from both sides:
\[
x^\circ = 180^\circ - 63^\circ
\]
Calculating that gives:
\[
x^\circ = 117^\circ
\]
Thus, rounding to the nearest tenth of a degree is not necessary because it is already a whole number.
The final answer is:
\[
x = 117^\circ
\]
Therefore, we have:
\[
20^\circ + 43^\circ + x^\circ = 180^\circ
\]
Now, combine the known angles:
\[
63^\circ + x^\circ = 180^\circ
\]
Next, isolate \( x \) by subtracting 63 degrees from both sides:
\[
x^\circ = 180^\circ - 63^\circ
\]
Calculating that gives:
\[
x^\circ = 117^\circ
\]
Thus, rounding to the nearest tenth of a degree is not necessary because it is already a whole number.
The final answer is:
\[
x = 117^\circ
\]