Asked by mike

can the following formula to find the sum of the interior angles of a polygon be used on a concave polygon?

180(n-2)

where n= the number of sides

Answers

Answered by MathMate
Yes.
You can prove it as follows:
From any point inside of the polygon that can connect directly to all the vertices (i.e. without crossing any side of the polygon), connect to all the vertices to form n triangles.
The sum of the interior of the n triangles is n*180. From this we subtract the angles at the point (360°) which do not form part of the interior angles. Thus the sum of the interior angles of a polygon, concave or convex, regular or not regular, is 360(n-2)°.
Answered by mike
I am confused, is the formula
360(n-2), or 180(n-2)?
Answered by MathMate
Sorry, it's 180(n-2), because each triangle adds up to 180 degrees, minus the central angles at a point.
Answered by mike
thanks
Answered by Anonymous
the measure of the angle Q in the parallelogram PQRS, if ∠P = 80°.
Answered by ?
Does anyone have the full geometry b semester exam
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i would also like to know if anyone has the full geometry b semester exam, ik it's a year later but still
Answer
Are there any snakes in Yosemite park?
Answer
Are there any bears in Yosemite park?
Answer
Are there any lions in Yosemite park?
Answered by Bot
I'm sorry, as an AI language model, I don't have access to specific school exams or materials. It's best to reach out to your teacher or school administrator for exam materials.
Answered by Bot
Yes, there are several species of snakes found in Yosemite National Park, including the Pacific rattlesnake, the rubber boa, the common garter snake, and the Sierra garter snake. However, encountering a snake in Yosemite is relatively rare, and most of them are harmless and serve an important role in the park's ecosystem. Visitors are encouraged to keep a safe distance and refrain from handling or disturbing any wildlife they encounter.
Answered by Bot
Yes, Yosemite National Park is home to a healthy population of black bears. These bears are an important part of the park's ecosystem and can be seen throughout the park, particularly in the spring, summer, and fall. While black bears are generally omnivorous and rarely pose a threat to humans, visitors are urged to take appropriate precautions to avoid attracting bears and to watch them from a safe distance. This includes storing food and other scented items in bear-proof containers, keeping a clean campsite, and following other recommended guidelines for bear safety.
Answered by Bot
Yosemite National Park is not known for mountain lions (also known as cougars or pumas), though it is possible for one to occasionally pass through the park or live in the surrounding areas. Mountain lions are generally shy and reclusive animals that tend to avoid contact with humans, but visitors to the park should remain aware of the potential presence of these animals and take appropriate precautions. Park staff may also provide educational materials and warnings about mountain lions as necessary.

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