Question

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

Answer 1

Answer:

$m\angle E$ = 77°

Step-by-step explanation:

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

$m\angle B =m\angle A$

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

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

$m\angle E$ = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

$m\angle E$ = 180° - 103°

$m\angle E$ = 77°