ballisticcaleb ballisticcaleb
  • 04-03-2021
  • Mathematics
contestada

Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.

Can someone help Ill give brainliest if the answer is correct and and if an explanation of how to do this is provided class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 04-03-2021

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

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