Answer: x = 10
Explanation:
Proof that triangle CAB ~ EAD
Angle CAB = Angle EAD (same angle)
Angle ABC = Angle ADE = 90 degree
Thus, Triangle ABC ~ EAD (AA)
And CB/ED = 8/16 = 1/2
Which mean CB = (1/2)ED
That mean AB/AD also equal 1/2
Where AB = 1/2(AD)
We get:
x = 1/2(10 + x)
x = 5 + (1/2)x
x - (1/2)x = 5
(1/2)x = 5
x = 10
