MCQ
If two angles are complementary and one angle is $10^\circ $ greater than the other, then the smaller angle of the two is:
  • $40^\circ$
  • B
    $50^\circ $
  • C
    $90^\circ$
  • D
    $180^\circ$

Answer

Correct option: A.
$40^\circ$

$ x^\circ = (90^\circ - x^\circ ) + 10^\circ$
$\Rightarrow 2x^\circ = 100^\circ $
$\Rightarrow x^\circ = 50^\circ$
$\Rightarrow 90^\circ - x^\circ = 40^\circ .$

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