Answer :

We know that,

Sum of all angles in a triangle = 180°


So, in ΔBEC


= 40 + x + 90 = 180


So, x = 50°


Now, in ΔADC-


= 50 + 30 + ADC = 180


= ADC = 100°


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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