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Q.

Find the angle and supplement, if the supplementary angle of an angle is one third of the angle.


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a

135o,45o

b

60o,180o

c

120o,350o

d

60o,120o  

answer is A.

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Detailed Solution

Given that, the supplementary angle of an angle is one third of the angle.
Let the angle be x and its supplementary angle be 13x.
The sum of the supplementary angles is 180o. So,
⟹x+13x=180o ⇒43x=180 ⇒x=180×34 =135o It's supplementary angle
=1353 =45o Hence the angle and supplementary angle are 135° and 45°.
Therefore, option 1 is correct.
 
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