Question

If you help, i give brainliest!

Answer 1

Answer:

m<E = $77^{o}$

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 = $77^{o}$