Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
[tex]1.\\exterior\angle=30^\circ\\ exterior\angle=180^\circ-interior\ angle\\ interior\angle=180^\circ-exterior\ angle=180^\circ -30^\circ=150^\circ\\ \\Formula\ for\ number\ of\ sides\ of\ regular\ polygon:\\\\ interior\angle= 180^\circ-\frac{360^\circ}{n}\\ 150^\circ=180^\circ-\frac{360^\circ}{n}\\ -30^\circ=-\frac{360^\circ}{n}\ |*n\\ -30^\circ\ *n=-360^\circ \ |:-30^\circ\\ n=12\\\\ Number\ of\ sides\ is\ 12.[/tex][tex]2.\\exterior\angle=10^\circ\\ exterior\angle=180^\circ-interior\ angle\\ interior\angle=180^\circ-exterior\ angle=180^\circ -10^\circ=170^\circ\\ \\Formula\ for\ number\ of\ sides\ of\ regular\ polygon:\\\\ interior\angle= 180^\circ-\frac{360^\circ}{n}\\ 170^\circ=180^\circ-\frac{360^\circ}{n}\\ -10^\circ=-\frac{360^\circ}{n}\ |*n\\ -10^\circ\ *n=-360^\circ \ |:-10^\circ\\ n=36\\\\ Number\ of\ sides\ is\ 36.[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.