The measures of the angles of a triangle are shown in the figure below. Solve for x.
Left side: 45. Right side: 78.
The sum of the measures of the angles in a triangle is always 180 degrees.
Let's call the missing angle x.
We know that the left side angle is 45 degrees and the right side angle is 78 degrees.
So, the sum of the angles is 45 + x + 78 = 180.
Combining like terms, we have 123 + x = 180.
Subtracting 123 from both sides, we get x = 180 - 123.
Simplifying the right side, we have x = 57.
Therefore, the missing angle x is 57 degrees.