Question

Find the value of x.
1. 37°, 2. 53°, 3. 139° and 4. x°
x = [?]°

Answer 1

To find the value of \( x \), we need to know the relationship between the given angles (37°, 53°, 139°, and \( x \)). Assuming that these angles are part of a geometrical figure like a triangle or a quadrilateral, there are specific rules we can apply.

1. If these angles are the angles of a triangle, their sum must equal 180°:

\[
37° + 53° + 139° + x = 180°
\]

2. If these angles are the angles of a quadrilateral, their sum must equal 360°:

\[
37° + 53° + 139° + x = 360°
\]

Let’s calculate both scenarios to determine \( x \):

### Scenario 1: Angles in a Triangle
\[
37° + 53° + 139° + x = 180°
\]
\[
229° + x = 180°
\]
\[
x = 180° - 229°
\]
\[
x = -49° \quad (\text{Not possible in a triangle})
\]

### Scenario 2: Angles in a Quadrilateral
\[
37° + 53° + 139° + x = 360°
\]
\[
229° + x = 360°
\]
\[
x = 360° - 229°
\]
\[
x = 131°
\]

Thus, if the angles are part of a quadrilateral, \( x = 131° \).

Therefore, the value of \( x \) is:
\[
\boxed{131°}
\]