MCQ
Find the measure of the complementary angle of $90^\circ .$
  • $0^\circ$
  • B
    $45^\circ$
  • C
    $90^\circ$
  • D
    $60^\circ$

Answer

Correct option: A.
$0^\circ$

The pair of angles is said to be complementary, when their sum is $90^\circ .$
Let $x, y$ be any two complementary angles and $\text{m}(\angle{\text{x}})=90^\circ$
$\Rightarrow\text{m}(\angle{\text{x}})+\text{m}(\angle{\text{y}})=90^\circ.....$ (By definition of complementary angles)
$\Rightarrow90^\circ+\text{m}(\angle\text{y})=90^\circ$
$\Rightarrow\text{m}(\angle{\text{y}})=0^\circ$
Hence, measure of complementary angle of $90^\circ $ is $0^\circ .$

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