To find angle 6 using the properties of exterior angles of triangles, we need to remember that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In this case, we have an exterior angle of 92°. If 38° is one of the interior angles, then we can use the following formula:
\[ \text{Exterior Angle} = \text{Angle 1} + \text{Angle 2} \]
So, if the exterior angle (92°) is equal to the sum of the two opposite interior angles (38° and angle 6), we can set up the equation:
\[ 92° = 38° + \text{angle 6} \]
To find angle 6, we can rearrange the equation:
\[ \text{angle 6} = 92° - 38° \] \[ \text{angle 6} = 54° \]
Since 54° is not listed in the options you provided, it appears there might be a misunderstanding in interpreting the angles. If angle 6 is meant to be directly calculated from the exterior angle, and one of the angles is provided incorrectly, please let me know if I can assist further.
If we are looking for angle 6 as another angle besides 38° that sums with it to equal the exterior angle, let me know the right angles available!
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