How do i find the value of x and measure of angle ebd?

Use the congruence statement to determine that ∠ABF = 5x°. Then, add ∠EBF to ∠FBA to get ∠EBA = 10x°.

Now, remove segment BF and it's easy to see that ∠EBA and ∠CBD are vertical angles, hence equal to each other. This gives you a relationship that lets you find the value of x and the values of all the angles.

... 10x = 2x +84 . . . . vertical angles are equal

... 8x = 84 . . . . . . . . subtract 2x

... x = 10.5 . . . . . . . . . divide by 8

∠EBD is the supplement to ∠CBD, which is 10x° = 105°.

... ∠EBD = 180° -105° = 75°

correct answer:

i^31 = -i