# In the given figu

We know that,

Sum of all angles in a triangle = 180°

So, in ΔBEC

= 40 + x + 90 = 180

So, x = 50°

= 50 + 30 + ADC = 180

Since BC represents a straight line, sum of angles = 180°.

So, ADC + y = 180

hence y = 80° since ADC = 100°

By exterior angle sum theorem of the smaller triangle formed-

z = DAE + BEA = 90° + 30° = 120°

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