Respuesta :

Hrishii

Answer:

[tex] m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 80\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

(9x - 8)° = (5x - 10)° + 50°

(9x - 8)° = (5x - 10 + 50)°

(9x - 8)° = (5x + 40)°

9x - 8 = 5x + 40

9x - 5x = 40 + 8

4x = 48

x = 48/4

x = 12

(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°

[tex] \implies m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)

[tex] \therefore m\angle CED = 80\degree [/tex]

[tex]\huge{ \mathcal{  \underline{ Answer }}}\:  ✓ [/tex]

Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .

From above statement we have :

  • [tex] 9x - 8 = 5x - 10 + 50[/tex]

  • [tex]9x - 5 x = 40 + 8[/tex]

  • [tex]4x = 48[/tex]

  • [tex]x = \dfrac{48}{4} [/tex]

  • [tex]x = 12[/tex]

_____________________________

[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]

  • [tex](9 \times 12) - 8[/tex]

  • [tex]108 - 8[/tex]

  • [tex]100°[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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