isabellacattaneo33 isabellacattaneo33
  • 25-10-2021
  • Mathematics
contestada

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+3)°
27°

The measures of the angles of a triangle are shown in the figure below Solve for x 6x3 27 class=

Respuesta :

renknee
renknee renknee
  • 25-10-2021

Answer:

x = 10

Step-by-step explanation:

1. The sum of all angle measures in any triangle is equal to 180 degrees.

  • This means that 90 + 6x + 3 + 27 = 180

2. (Solving)

Step 1: Combine like terms.

  • [tex](6x)+(90+3+27)=180[/tex]
  • [tex]6x + 120 = 180[/tex]

Step 2: Subtract 120 from both sides.

  • [tex]6x + 120 - 120 = 180 - 120[/tex]
  • [tex]6x = 60[/tex]

Step 3: Divide both sides by 6.

  • [tex]\frac{6x}{6}=\frac{60}{6}[/tex]
  • [tex]x = 10[/tex]

Therefore, x = 10.

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