The length of EC shown in the diagram is 66.2.
"To understand the calculation, check below."
Triangles
ΔBE - ΔAE = ΔAB
ΔAB = 180°- 117°
ΔAB = 63°
Δ[tex]BE-[/tex] Δ[tex]AB-[/tex] Δ[tex]BC[/tex] = Δ[tex]CD[/tex] (Congruent angles)
Δ[tex]CD= 180 - 63 - 15[/tex]
Δ[tex]CD=102[/tex]
[tex]EC = 102 + 63[/tex]
[tex]EC=165[/tex]
[tex]L = 165[/tex] • [tex]2\pi23/360[/tex]
[tex]L = 66.2[/tex]
Therefore, EC = 66.2
Learn more about "Congruent angles":
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