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Sagot :

olayemiolakunle65

Answer:

m<E = [tex]77^{o}[/tex]

Step-by-step explanation:

From the diagram, ΔACE and ΔBDE are similar. So that comparing its angles, we have;

(8x + 4) = (9x - 5)

8x + 4 = 9x - 5

5 + 4 = 9x - 8x

x = 9

Thus,

(8x + 4) = 8(9) + 4 = 76

(9x - 5) = 9(9) - 5 = 76

3x = 3(9) = 27

From ΔACE,

3x + (8x + 4) + m<E = 180 (sum of angles in a triangle)

27 + 76 + m<E = 180

m<E = 180 - 103

m<E = [tex]77^{o}[/tex]

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