find the angle whose complement is one third of its supplement
Answers
Answered by
6
Answer:
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Step-by-step explanation:
Consider the required angle as x
o
We know that the complement can be written as 90
o
−x
o
and the supplement can be written as 180
o
−x
o
To find the measure of an angle is equal to its complement
We get
[90
o
−x
o
]=
3
1
[180
o
−x
o
]
We can also write it as
[90
o
−x
o
]=60
o
−
3
1
x
o
so we get
x
o
−
3
1
x
o
=90
o
−60
o
3
2
x
o
=30
o
By division we get
x
o
=
2
(30×3)
x
o
=45
o
Therefore the measure of an angle w
Answered by
0
Answer:
theta=45
3(90-theta)=180-theta
270-3theta=180-theta
270-180=2theta
therefore theta=45°
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