Respuesta :
Answer:
x = 17 is the answer.
Step-by-step explanation:
In the given question ΔABE and ΔADE have been given where ∠BAE ≅ ∠EAD (central angles formed by chords BE and ED) and AB = AE = AD (Radii of the circle)
We have to find the value of x.
Since ∠BAE ≅ ∠EAD and AB = AE = AD are completing the property (SAS) of the congruence of two triangles Δ BAE ≅ ΔEAD
Therefore BE/ED = AB/AD
(3x-24)/(x + 10) = r/r = 1/1
(3x - 24) = (x + 10)
3x - x = 24 + 10
2x = 34
x = 34/2 = 17
Answer is x = 17
