contestada

the port support for a window air conditioning unit forms a triangle and an exterior angle. What is the measure of the exterior angle? The sides are ( 5x - 6) degreesand the other angle is 3x degrees and last angle is 90 degrees

Respuesta :

MissPhiladelphia

The port support for a window air conditioning unit forms a triangle and an exterior angle. The sides are ( 5x - 6) degreesand the other angle is 3x degrees and last angle is 90 degrees.

The su, of the interior angles of the triangle is 180

( 5x - 6) + 3x + 90 = 180

X= 12, so the angles are 54 and 36

The exterior angle will also form a 180 degree with the interior

Depending which exterior angle

1. ) 180 – 54 = 126

2.) 180 – 36 = 144

akposevictor

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: [tex]\mathbf{126^{\circ}}[/tex]

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:

[tex](5x - 6)^{\circ}\\\\3x^{\circ}, and\\\\90^{\circ}[/tex]

  • Thus:

[tex]5x - 6 + 3x + 90 = 180[/tex] (sum of triangle)

  • Solve for x. Add like terms together

[tex]5x - 6 + 3x + 90 = 180\\\\8x + 84 = 180\\\\8x = 180 - 84\\\\8x = 96\\\\\mathbf{x = 12}[/tex]

The exterior angle = [tex]90 + 3x[/tex]

  • Plug in the value of x

[tex]\mathbf{90 + 3(12) = 126^{\circ}}[/tex]

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: [tex]\mathbf{126^{\circ}}[/tex]

Learn more here:

https://brainly.com/question/4164600

Ver imagen akposevictor

Otras preguntas