Jade has to replace the centre portion of this window Determ

Jade has to replace the centre portion of this window. Determine the measure of BEC.

Let m(BEC) = x

=> m(AEB) + x = m(AEC) = 123

=> m(DEC) + x = m(DEB) = 119

=> m(AEB) + m(DEC) + 2x = 242. . .(1)

And by straight angle property

=> m(AEB) + x + m(CED) = 180. . .(2)

Plugging (2) in (1)

=> 180 + x = 242

=> x = 62