Question

If AABC = ADEC,

ZB = x + 15 and ZE = 6x - 65
B
С
x = [?]
Enter
Answer

Answer 1

x = 16

Explanation:

Since the triangles are congruent then corresponding angles are congruent, that is

∠ B = ∠ E , substitute values

x + 15 = 6x - 65 ( subtract 6x from both sides )

- 5x + 15 = - 65 ( subtract 15 from both sides )

- 5x = - 80 ( divide both sides by - 5 )

x = 16