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If two complementary angles measure $(5 x - 3) °$ and $(8 x + 2) °$ , then the value of $5 x$ is

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$65 °$

$55 °$

$35 °$

$13 °$

answer is D.

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Detailed Solution

$5 x - 3 +$ $8 x + 2 = 90 °$

$13 x - 1 = 90 °$

$13 x = 91$

$x = 7 °$

$5 x = 5 \times 7 = 35 °$

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