Question

If AABC = ADEC,
ZB = 5x and ZE = 45°
А
D
с
B
E
x = [?]

Answer 1

I agree with the first answer

Explanation:

Answer 2

x=9

Explanation:

If the triangles are congruent, then the angles B and E are also congruent (because they lie in the same place). Set an equation where B is equal to E:

∠
`B=`∠
`E`

Substitute values:

`5x=45`

Solve for x. Divide both sides by 5:

`(5x)/(5)=(45)/(5)\\\\ x=9`

So, when ΔABC≅ΔDEC, and ∠B=5x and ∠E=45°, the value of x is 9.

:Done