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Simple Equations — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSSimple Equations1 Mark
MCQ
Mark against the correct answer in the following:
Two supplementary angles differ by $20^\circ .$ The smaller of the two measures:
  • A
    $60^\circ $
  • ✓
    $80^\circ$
  • C
    $100^\circ$
  • D
    $120^\circ$
✓

Answer

Correct option: B.
$80^\circ$
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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