Q.8. In the adjacent figure, if x : y = 11 : 19, A D B E . Find D C E .

Dear Student,
Here is the solution of your asked query:
since ADBE, so we have;y=BDC=32°   {alternate interior angles}Also, x:y=11:19xy=1119x=11y19=1119×32=18.526 18.5We know that exterior angle of triangle is equal to sum of interior opposite angles.Then, DCE=BDC+x=32+18.5=50.5°

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As we know that the three angles will be equal to 180 The equation formed will be 2x+12=180 I guess that the answer will be 84 degree
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