JerronM364506 JerronM364506
  • 25-10-2022
  • Mathematics
contestada

The measures of the angles of a triangle are shown in the figure below. Solve for x.(5x-18)23°

The measures of the angles of a triangle are shown in the figure below Solve for x5x1823 class=

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KemonK421652 KemonK421652
  • 25-10-2022

The figure given is a triangle

The total angle in a triangle is 180 degrees

The sizes of the angles given are:

[tex](5x-18)^0,\text{90}^0\text{and }23^0[/tex]

Therefore

[tex]5x-18+90+23=180[/tex]

Hence, to get x, we will collect like terms

[tex]5x=180+18-90-23[/tex]

=>

[tex]\begin{gathered} 5x=85 \\ \\ \frac{5x}{5}=\frac{85}{5} \end{gathered}[/tex]

=>

[tex]x=17[/tex]

Hence, the value of x = 17

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