Question
Solve for xx. Round to the nearest tenth of a degree, if necessary.
K
L
M
47
94
x°
Answer
Attempt 1 out of 2
x, equalsx=
K
L
M
47
94
x°
Answer
Attempt 1 out of 2
x, equalsx=
Answers
GPT-4o mini
It appears you have a triangle with angles \( K, L, \) and \( M \) measuring \( 47^\circ, 94^\circ, \) and \( x^\circ \) respectively. To find the value of \( x \), we can use the property that the sum of the angles in a triangle is always \( 180^\circ \).
The equation we can set up is:
\[
K + L + M = 180^\circ
\]
Substituting the known values:
\[
47^\circ + 94^\circ + x^\circ = 180^\circ
\]
Now combine the known angles:
\[
141^\circ + x^\circ = 180^\circ
\]
Next, solve for \( x \):
\[
x^\circ = 180^\circ - 141^\circ
\]
\[
x^\circ = 39^\circ
\]
Thus, rounding to the nearest tenth of a degree if necessary, we find:
\[
\boxed{39.0}
\]
The equation we can set up is:
\[
K + L + M = 180^\circ
\]
Substituting the known values:
\[
47^\circ + 94^\circ + x^\circ = 180^\circ
\]
Now combine the known angles:
\[
141^\circ + x^\circ = 180^\circ
\]
Next, solve for \( x \):
\[
x^\circ = 180^\circ - 141^\circ
\]
\[
x^\circ = 39^\circ
\]
Thus, rounding to the nearest tenth of a degree if necessary, we find:
\[
\boxed{39.0}
\]