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Byju's Answer
Standard VII
Mathematics
Angle Sum Property
In the adjoin...
Question
In the adjoining figure,
A
B
C
D
is a trapezium in which
A
B
∥
D
C
.
If
∠
A
=
55
∘
and
∠
B
=
70
∘
,
find
∠
C
and
∠
D
.
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Solution
In a trapezium, the sum of the adjacent angles within the parallel lines is
180
∘
.
∠
A
+
∠
D
=
180
∘
∠
D
=
180
∘
−
∠
A
=
180
∘
−
55
∘
=
125
∘
∠
C
=
180
∘
−
70
∘
=
110
∘
∠
D
=
125
∘
and
∠
C
=
110
∘
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Similar questions
Q.
In the adjoining figure, ABCD is a trapezium in which AB II DC. If
∠
A
=
55
∘
a
n
d
∠
B
=
70
∘
, find
∠
C
∠
D
.
Q.
In the adjoining figure, ABCD is a trapezium in which AB || DC. If
∠A = 55° and ∠B = 70°, find ∠C and ∠D.