Verified by Ajay Kumar
If a regular polygon has interior angle = 179°, find the number of sides.
180
360
540
720
Answer: B
Solution: For a regular polygon, \(\frac{(n-2)\times180^\circ}{n}=179^\circ\). Hence, \(180^\circ-\frac{360^\circ}{n}=179^\circ\), so \(\frac{360}{n}=1\) and \(n=360\). Trick: Use the equivalent formula for an interior angle, \(180^\circ-\frac{360^\circ}{n}\).
यदि किसी सम बहुभुज का अंतःकोण 179° है, तो उसकी भुजाओं की संख्या ज्ञात कीजिए।
180
360
540
720
उत्तर: B
हल: सम बहुभुज के लिए \(\frac{(n-2)\times180^\circ}{n}=179^\circ\)। इसलिए \(180^\circ-\frac{360^\circ}{n}=179^\circ\), जिससे \(\frac{360}{n}=1\) और \(n=360\) मिलता है। ट्रिक: अंतःकोण के समतुल्य सूत्र \(180^\circ-\frac{360^\circ}{n}\) का प्रयोग करें।
Community answers
Votes use a first-party browser cookie to help prevent repeat votes. Votes indicate helpfulness, not correctness.
No community answers yet. Be the first to share how you solved it.
Share your solution
Help other learners understand the steps. Your answer will be reviewed before it appears.