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Byju's Answer
Standard IX
Mathematics
Dividing Line Segment into Equal Parts
In the given ...
Question
In the given figure, a || b and c || d. If
∠
1
=
75
∘
, what is the measure of
∠
3
?
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Solution
Given a || b and c || d and
∠
1
=
75
∘
Since, a || b,
∠
1
=
∠
2
=
75
∘
(corresponding angles are equal)
Also c || d,
⇒
∠
2
+
∠
3
=
180
∘
[
sum of co-interior angles is 180
]
∴
∠
3
=
180
∘
−
75
∘
=
105
∘
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