Question

What is the measurement of the exterior angle x
Top 37°
Right 42°
Left x
79°, 24° , 90°

Answer 1

To solve for the exterior angle \( x \), we need to understand the geometrical context of the angles given.

Assuming these angles are associated with a polygon or a geometric figure where we have an exterior angle property, we know that the exterior angle can be calculated using the relationship:

\[
\text{Exterior angle} = 180^\circ - \text{Interior angle}
\]

From the information provided, if we assume that 37°, 42°, and the unknown angle \( x \) represent interior angles of a polygon, we can use the fact that the sum of the internal angles for an n-sided polygon is given by the formula \( (n-2) \times 180^\circ \). However, the exact type of polygon or configuration isn't fully specified in your prompt.

To find \( x \), if we consider these angles as the angles around a point, we can also add them together since they would sum up to \( 360^\circ \):

\[
37^\circ + 42^\circ + x = 360^\circ
\]

Solving for \( x \):

\[
x = 360^\circ - (37^\circ + 42^\circ)
\]
\[
x = 360^\circ - 79^\circ
\]
\[
x = 281^\circ
\]

So the measure of the exterior angle \( x \) is \( 281^\circ \). If you meant something different or if there are other constraints, please provide more details.