MCQ
Mark against the correct answer in the following:Two supplementary angles differ by $20^\circ$ . The smaller of the two measures:
  • $60^\circ $
  • B
    $80^\circ $
  • C
    $100^\circ $
  • D
    $120^\circ $

Answer

Correct option: A.
$60^\circ $

Let first angle $= x$
Then second $= 180^\circ - x$
$x - (180^\circ - x) = 20^\circ$
$\Rightarrow x - 180^\circ + x = 20^\circ$
$\Rightarrow 2x = 20^\circ + 180^\circ = 200^\circ$
$x = 100^\circ$
Second angle $= 180^\circ - 100^\circ = 80^\circ$
Smaller angle $= 80^\circ$

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