Quantitative Aptitude Geometry Quadrilaterals

A cyclic quadrilateral ABCD's sides AB and DC are produced to meet at Z, and the sides AD and BC are produced to meet at Y. What is the measure of (∠ABC + ∠DCY), if ∠AZD = 30° and ∠ADC = 105°?

1

90∘

2

60∘

3

100∘

4

120^∘

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