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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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