Find the angle whose complement is four times its supplement.
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Answers
Answered by
3
Step-by-step explanation:
The complement of the angle x is given by (90 - x). Hence, the angle which is four times its complement is 72 degrees.
Answered by
1
Let the angle be x.
Its supplement is 180−x
Its complement is 90−x
So, 180−x=4×(90−x)
Or 180−x=360−4x
⟹ x=
3
180
=
Its supplement is 180−x
Its complement is 90−x
So, 180−x=4×(90−x)
Or 180−x=360−4x
⟹ x=
3
180
=
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