Mathematics

# If the difference of two complementary angles is 10, then the smaller angle is

40

##### SOLUTION
Let first angle = x
Then its complementary angle = 90 - x
Now $x - (90 - x) = 10$
$\implies\, x - 90 + x =10$
$\implies\, 2x = 10 + 90 = 100$
$\implies\, x =50$
Second angle = $90- 50 =40$
Smaller angle= 40

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Single Correct Medium Published on 09th 09, 2020
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