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Byju's Answer
Standard IX
Mathematics
Adjacent Angles
In the figure...
Question
In the figure, given below name:
(i) Three pairs of adjacent angles
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Solution
(a)
∠
A
O
B
and
∠
B
O
C
where
O
B
is common arm,
O
is common vertex and
O
A
and
O
C
are the other arms on opposite sides of common arm.
(b)
∠
A
O
B
and
∠
A
O
D
where
O
A
is common arm,
O
is common vertex and
O
B
and
O
D
are other arms on opposite sides of common arm.
(c)
∠
A
O
D
and
∠
D
O
C
where
O
D
is common arm,
O
is common vertex and
O
A
and
O
C
are other arms on opposite sides of common arm.
Hence, required pairs of adjacent angles are
∠
A
O
B
and
∠
B
O
C
,
∠
A
O
B
and
∠
A
O
D
, and
∠
A
O
D
and
∠
D
O
C
.
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Q.
If the given figure, ∠AOF and ∠FOG form a linear pair.
∠EOB = ∠FOC = 90° and ∠DOC = ∠FOG = ∠AOB = 30°
(i) Find the measure of ∠FOE, ∠COB and ∠DOE.
(ii) Name all the right angles.
(iii) Name three pairs of adjacent complementary angles.
(iv) Name three pairs of adjacent supplementary angles.
(v) Name three pairs of adjacent angles.