Finding Angle of a Triangle
To find the value of \(x\) in the triangle depicted in the image, we can use the fact that the sum of the angles within a triangle always equals 180 degrees.
The triangle in the image has one of its angles labeled 100 degrees and another labeled as \(30\) degrees. Let's call the third angle, which we are trying to find, \(x\).
We can set up the equation:
\[ 100^\circ + 30^\circ + x^\circ = 180^\circ \]
Combining the known angles gives us:
\[ 130^\circ + x^\circ = 180^\circ \]
To solve for \(x\), we subtract 130 degrees from both sides of the equation:
\[ x^\circ = 180^\circ - 130^\circ \]
\[ x^\circ = 50^\circ \]
So the value of \(x\) is 50 degrees.
