MCQ
Two complementary angles are in the ratio $1 : 9.$ The angles are:
  • A
    $54^\circ , 36^\circ$
  • $9^\circ , 81^\circ$
  • C
    $10^\circ , 90^\circ$
  • D
    $11^\circ , 79^\circ$

Answer

Correct option: B.
$9^\circ , 81^\circ$

 Let the angles be $x$ and $9x$ Sum of complementary angles is $90^\circ $
$\Rightarrow x + 9x = 90^\circ $
$\Rightarrow 10x = 90^\circ $
$\Rightarrow x = 9^\circ $
So the angles are $1 \times 9^\circ = 9^\circ $
$9 \times 9^\circ = 81^\circ $

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