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Question -

In the figure, ACB is a line such that тИаDCA = 5x and тИаDCB = 4x. Find the value of x.



Answer -

ACB is a line, тИаDCA = 5x and тИаDCB = 4x
тИаACD + тИаDCB = 180┬░ (Linear pair)
тЗТ 5x + 4x = 180┬░ тЗТ 9x = 180┬░
тЗТ x == 20┬░
тИ┤ x = 20┬░
тИ┤ тИаACD = 5x = 5 x 20┬░ = 100┬░ and тИаDCB = 4x = 4 x 20┬░ = 80┬░

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