oscarmuniz59 oscarmuniz59
  • 01-04-2021
  • Mathematics
contestada

Write an equation and solve for the missing anglemeasure.

Equation: _______________________

Angle g = ___________

Write an equation and solve for the missing anglemeasure Equation Angle g class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 06-04-2021

Answer:

Equation: [tex]143 + g = 180[/tex]

[tex]g =37[/tex]

Step-by-step explanation:

Given

The attached figure

Required

The equation to find g and the solution

From the attached: Angles ACD, DCE and ECB lie on a straight line.

Where

[tex]ACD = 90[/tex]       [tex]DCE = 53[/tex]     [tex]ECB = g[/tex]

This means that:

[tex]ACD + DCE + ECB = 180[/tex]

[tex]90 + 53 + g = 180[/tex]

[tex]143 + g = 180[/tex]

Subtract 143 from both sides

[tex]-143 + 143 + g = 180 - 143[/tex]

[tex]g = 37[/tex]

Answer Link

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