Verified by Ajay Kumar
A regular polygon has 9 sides. Find the measure of each interior angle.
120°
135°
140°
147°
Answer: C
Solution: Each interior angle of a regular n-sided polygon is \(\frac{(n-2)\times180^\circ}{n}\). For \(n=9\), the angle is \(\frac{(9-2)\times180^\circ}{9}=\frac{7\times180^\circ}{9}=140^\circ\). Trick: Use the interior-angle formula for a regular polygon.
एक सम बहुभुज की 9 भुजाएँ हैं। प्रत्येक अंतःकोण का माप ज्ञात कीजिए।
120°
135°
140°
147°
उत्तर: C
हल: n भुजाओं वाले सम बहुभुज का प्रत्येक अंतःकोण \(\frac{(n-2)\times180^\circ}{n}\) होता है। \(n=9\) रखने पर कोण \(\frac{(9-2)\times180^\circ}{9}=\frac{7\times180^\circ}{9}=140^\circ\) मिलता है। ट्रिक: सम बहुभुज के अंतःकोण का सूत्र प्रयोग करें।
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