MCQ
Two supplementary angles are in the ratio $3 : 2.$ The smaller angle measures:
- A$108^\circ $
- B$81^\circ$
- ✓$72^\circ $
- D$68^\circ$
✓
Answer
Correct option: C.
$72^\circ $
Let the angles be $3x$ and $2x$
Now, $3x + 2x = 180^\circ $
$\Rightarrow 5x = 180^\circ $
$\Rightarrow x = 36^\circ $
$\therefore$ Smaller angle $= 2x = 2 \times 36^\circ = 72^\circ $
Hence, the correct answer is option $(c).$
Now, $3x + 2x = 180^\circ $
$\Rightarrow 5x = 180^\circ $
$\Rightarrow x = 36^\circ $
$\therefore$ Smaller angle $= 2x = 2 \times 36^\circ = 72^\circ $
Hence, the correct answer is option $(c).$
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