In the given figure, DE⊥AB. Find the values of x and y.

In triangle DEB,
angles,EDB+DBE+DEB =180 (angle sum property)
EDB+90+40=180 (given)
EDB+130=180
EDB=180-130
EDB=50=x

angle DFC=180-angleDFA(linear angles)
DFC=180-110
DFC=70

in triangle DFC,
x+y+DFC=180 (angle sum property)
50+y+70=180
y+120=180
y=180-120
y=60

 

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I hope this can help you.....

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x=50
y=60
 
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y=80degree, x= 50 degree. This is txt. book sum
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i mean x=50degree, y=60 degree
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