Two angles are supplementary and the larger is 20 degree less than three times the smaller. Find the angles.

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Solution

Dear student,

$L e t t h e s m a l l e r a n g l e b e x t h e n l a r g e r a n g l e = 3 x - 20 ° A c c . t o q u e s t i o n, x + (3 x - 20 °) = 180 ° \Rightarrow x + 3 x - 20 ° = 180 ° \Rightarrow 4 x = 180 ° + 20 ° \Rightarrow x = \frac{200 °}{4} \Rightarrow x = 50 ° T h u s, t h e s m a l l e r a n g l e = x = 50 ° a n d l a r g e r a n g l e = 3 x - 20 ° = 3 \times 50 ° - 20 ° = 150 ° - 20 ° = 130 °$

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