jaydadavide91 jaydadavide91
  • 15-11-2020
  • Mathematics
contestada

The measures of the angles of a triangle are shown in the figure below. Solve for x.
29
(x+17)
(4x+9)°

Respuesta :

lydiacackovic
lydiacackovic lydiacackovic
  • 15-11-2020
29+x+17+4x+9=180
Simplify equation
55+5x=180
-55 from both sides
5x=180
Now divide by x
x=25
Answer Link
umairkazi924
umairkazi924 umairkazi924
  • 15-12-2020

Three angles of the triangle:

[tex]29[/tex]

[tex]x + 17[/tex]

[tex]4x + 9[/tex]

___________________________________________

Angle sum of triangle = 180°

[tex](29) + (x + 17) + (4x + 9) = 180[/tex]

[tex]29 + x + 17 + 4x + 9 = 180[/tex]

[tex](29 + 17 + 9) + (4x + x) = 180[/tex]

[tex]55 + 5x = 180[/tex]

[tex]5x = 180 - 55[/tex]

[tex]5x = 125[/tex]

[tex]x = \frac{125}{5} [/tex]

[tex]x = 25[/tex]

Answer Link

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