Q.

The larger of two supplementary angles exceeds the smaller by 18∘. Find them.


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a

 Question Image

b

Question Image

c

Question Image

d

Question Image

answer is A.

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Detailed Solution

Concept: Supplementary angles are two angles with a sum of 180∘180∘. A common case is when they lie on the same side of a straight line.
Take two supplementary angles .x & Y
We get Question Image……(1)
It is given in the question that the larger of two supplementary angles exceeds the smaller by Question ImageSo let Question ImageA/Q to question Question Image……(2)
Simplifying Question Image  Question ImageSubstituting  y in (2)
Question ImageSo the supplementary angles are Question Image& Question ImageHence, the correct answer is option (1)
 
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