Two angles are supplementary. If one of them is one third of the other, find the angles.

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Solution

Dear student
$L e t t h e f i r s t a n g l e b e x N o w, m e a s u r e o f i t s s u p p l e m e n t = (180 ° - x) N o w, a c c o r d i n g t o q u e s t i o n, \Rightarrow x = \frac{1}{3} (180 ° - x) \Rightarrow 3 x = 180 ° - x \Rightarrow 4 x = 180 \Rightarrow x = 45 ° S o, f i r s t a n g l e = x = 45 ° s e c o n d a n g l e = 180 ° - 45 ° = 135 °$
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Two angles are supplementary. If one of them is one third of the other, find the angles.

Dear student Let the first angle be xNow, measure of its supplement=180°-xNow, according to question,⇒x=13180°-x⇒3x=180°-x⇒4x=180⇒x=45°So, first angle=x=45°second angle=180°-45°=135° Regards