MCQ
Mark $(\checkmark)$ against the correct answer. Two supplementary angles are in the ratio $3 : 2.$ The smaller angle measures:
- A$108^\circ$
- B$81^\circ$
- ✓$72^\circ$
- DNone 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 $
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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