In the given figure, AB | DC and BC || AD. Find the values of
E
C
zº
x, y and a
110°
B
A
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Answer:
Given, AB∣∣CD,
Consider AC is transversal.
z=125
o
[∵ Corresponding angles ]
x=180−125
o
[ ∵ sum of angles in a straight line=180
o
]
x=55
o
We know that, sum of all the interior angles in a quadrilateral is 360
o
∠A+∠B+∠C+∠D
x+x+z+y=360
o
55+55+125+y=360
o
⟹y=125
o
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