MCQ
Mark against the correct answer in the following:
Two complementary angles differ by $10^\circ .$ The larger angle is:
  • $60^\circ $
  • B
    $50^\circ$
  • C
    $64^\circ $
  • D
    $54^\circ$

Answer

Correct option: A.
$60^\circ $

Let first angle $= x$
Then second $= 90^\circ - x$
$x - (90^\circ - x) = 10$
$\Rightarrow x - 90^\circ + x = 10^\circ $
$\Rightarrow 2x = 10^\circ + 90^\circ = 100^\circ $
$x = 50^\circ $
Second angle $= 90^\circ - 50^\circ = 40^\circ $
Larger angle $= 50^\circ $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free