if ratio of the angles forming linear pair is 3: 6 then Larger of the two angle is
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Step-by-step explanation:
Explanation:
Let the 2 supplementary angles be
x
and
y
.
Since they are supplementary,
x
+
y
=
180
∘
...........(1).
Since the ratio of
x
to
y
is
3
:
6
=
1
:
2
,
y
=
2
x
......(2).
Now solve for equations (1) and (2) simultaneously :
Substituting (2) into (1) yields :
x
+
2
x
=
180
∴
x
=
180
3
=
60
∘
.
∴
y
=
2
(
60
)
=
120
∘
.
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