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Constructions — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer. Two supplementary angles are in the ratio $3 : 2$. The smaller angle measures:
  • A
    $108^\circ$
  • B
    $81^\circ$
  • ✓
    $72^\circ $
  • D
    None of these.
✓

Answer

Correct option: C.
$72^\circ $

Two supplementary angle are in the ratio $= 3 : 2$
Let first angle $= 3x$
Second angle $= 2x$
But $3x + 2x = 180^\circ $
$\Rightarrow 5x = 180^\circ $
$\Rightarrow x = 36^\circ $
Smaller angle $= 2x = 2 \times 36^\circ = 72^\circ $

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