Summary, given that the port support for the window air condition formed a triangle with sides (5x - 6), 3x, and 90 degrees, the exterior angle measure would be: \(\mathbf{126^{\circ}}\)
Recall:
- Exterior angle of a triangle equals the two interior angles that are opposite to it.
- Sum of angles = 180 degrees
The image of the port support is shown in the image attached below.
The angles of the triangle are given as:
\((5x - 6)^{\circ}\\\\3x^{\circ}, and\\\\90^{\circ}\)
\(5x - 6 + 3x + 90 = 180\) (sum of triangle)
- Solve for x. Add like terms together
\(5x - 6 + 3x + 90 = 180\\\\8x + 84 = 180\\\\8x = 180 - 84\\\\8x = 96\\\\\mathbf{x = 12}\)
The exterior angle = \(90 + 3x\)
\(\mathbf{90 + 3(12) = 126^{\circ}}\)
In summary, given that the port support for the window air condition formed a triangle with sides (5x - 6), 3x, and 90 degrees, the exterior angle measure would be: \(\mathbf{126^{\circ}}\)
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