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°
