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Question

In the figure, a is greater than b by one third of a right-angle. Find the values of a and b.

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Solution

In the figure,
AOC+BOC=180 (Linear pair)
a+b=180 ...(i)
But a=b+13×90=b+30
ab=30 ...(ii)
Adding (i) and (ii)
2a=210a=2102=105
and 105+b=180 b=180105
b=75
Hence a=105,b=75


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