Question

Find the value of x.
1. 52°, 2. 38°, 3. 142° and 4. x°
x = [?]°

Answer 1

To determine the value of \( x \) given the angles 52°, 38°, 142°, and \( x \), we first need to know the context in which these angles are being used.

If they are to be summed up in some way (for instance, if they represent angles of a polygon), we need more information. In many cases, especially if we're dealing with a geometrical figure or a specific relationship (like supplementary or complementary angles), we need to work based on that context.

However, if we assume that the four angles must sum up to 360° (for instance, if they are angles around a point), we can set up the following equation:

\[
52 + 38 + 142 + x = 360
\]

Calculating the sum of the known angles:

\[
52 + 38 + 142 = 232
\]

Now, we can substitute this sum into the equation:

\[
232 + x = 360
\]

To find \( x \), we subtract 232 from both sides:

\[
x = 360 - 232
\]
\[
x = 128°
\]

Thus, the value of \( x \) is:

\[
\boxed{128°}
\]