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Question -

If the angles (2x тАУ 10)┬░ and (x тАУ 5)┬░ are complementary angles, find x.



Answer -

First complementary angle = (2x тАУ 10┬░) and second = (x тАУ 5)┬░
тИ┤ 2x тАУ 10┬░ + x тАУ 5┬░ = 90┬░
тЗТ 3x тАУ 15┬░ = 90┬░ тЗТ┬а 3x = 90┬░ + 15┬░ = 105┬░
тИ┤ x == 35┬░
тИ┤┬а First angle = 2x тАУ 10┬░ = 2 x 35┬░ тАУ 10┬░
= 70┬░ тАУ 10┬░ = 60┬░
and second angle = x тАУ 5 = 35┬░ тАУ 5 = 30┬░

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