The supplementary angle is one-fifth of itself determine the angle and supplement.

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Solution

Dear Student,

$S u m o f a n a n g l e a n d i t s s u p p l e m e n t i s 180 ° L e t t h e a n g l e b e 5 x S o, i t s s u p p l e m e n t i s x . T h e r e f o r e, 5 x + x = 180 6 x = 180 x = \frac{180}{6} = 30 ∴ 5 x = 150 T h u s, t h e r e q u i r e d a n g l e i s 150 ° a n d i t s s u p p l e m e n t i s 30 °$

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(a) Find the angle which is supplementary to itself.
(b) Find the angle which is double its supplement.
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