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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.



Answer -

In the figure,
тИаAOC + тИаBOC = 180┬░ (Linear pair)
тЗТ a + b =180┬░ тАж(i)
But a = b +┬а┬а┬аx 90┬░ = b + 30┬░
тЗТ a тАУ b = 30┬░ тАж(ii)
Adding (i) and (ii)
210┬░
2a = 210┬░ тЗТ a =┬а= 105┬░
and 105┬░ + b = 180┬░
тЗТ b = 180┬░ тАУ 105┬░
тИ┤ b = 75┬░
Hence a = 105┬░, b = 75┬░

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