b) Two regular polygons are such that the ratio of their number of sides is 1:2, and the ratio of
sum of their interior angles is 3 : 7 Find the number of sides of each polygon
[Hint: The sum of interior angles of a polygon is (n - 2)x180°)]
Answers
Step-by-step explanation:
Our friendship started when my best friend came in as a new admission to our class. Both of us were hesitant to talk to each other at first, but gradually we developed a bond. I remember the first time my best friend tried to talk to me; I rolled my eyes because I thought there was no use and we wouldn’t hit it off. However, to my surprise, we became best friends by the end of the session year.
We learned so many things about each other and found out that our taste in music was so similar. Since then, there was no stopping us. We spent all our time together and our friendship became the talk of the class. We used to help each other out in studies and visited each other’s home as well.
On our summer break, we even went to summer camp together and made a lot of memories. Moreover, we even invented our own handshake which only both of us knew. Through this bond, I learned that family doesn’t end with blood because my best friend was no less than my family.
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Qualities of My Best Friend
I feel one of the main reasons why I formed such a bond with my best friend was because of the qualities she possesses. Her courage always inspired me to raise my voice against injustice as she always stood up to her bullies. She is also one of the smartest minds in class who doesn’t only excel academically but also in life. I have never seen a dancer as good as my best friend, the accolades she has won are proof of her talent.
Above all, I feel the quality that appeals to me the most is her compassion. Whether it’s towards humans or animals, she always keeps the same approach. For instance, there was an injured stray dog that was wailing in pain, my best friend did not only get him treated but she also adopted him.
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Similarly, she saw a poor old woman on the streets one day and she only had money for her lunch. My best friend did not hesitate once before giving all of it to the poor lady. That incident made me respect her even more and inspired me to help the underprivileged more often.
Answer:
Each interior angle =n(2n−4)×90∘
According to the question,
2n(2×2n−4)×90∘n(2n−4)×90∘=32 (Ratio of number of sides is 1:2)
⇒4n−4(2n−4)×2=32⇒4n−42n−4=31
⇒6n−12=4n−4⇒6n−4n=12−4=8
⇒2n=8⇒n=4
Hence, number of sides in polygons are 4 and 8 respectively.
Hope it helps