MCQ
An exterior angle of a triangle is $110^\circ $ and its two interior opposite angles are equal. Each of these equal angles is:
- A$70^\circ$
- ✓$55^\circ$
- C$35^\circ$
- D$27\frac{1^\circ}{2}$
✓
Answer
Correct option: B.
$55^\circ$
Let each interior opposite angle be $x.$
Then, $x + x = 110^\circ ($Exterior angle property of a triangle$)$
$\Rightarrow 2x = 110^\circ $
$\Rightarrow x = 55^\circ $
Then, $x + x = 110^\circ ($Exterior angle property of a triangle$)$
$\Rightarrow 2x = 110^\circ $
$\Rightarrow x = 55^\circ $
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