- #1
Frank212
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Homework Statement
Homework Equations
sum interior angles (n-2)*180
angles of a quadrilateral: a+b+c=d = 360
[/B]
The Attempt at a Solution
What do you do with the exterior angle?
80+130+a+x=360
Frank212 said:Homework Statement
View attachment 104635
Homework Equations
sum interior angles (n-2)*180
angles of a quadrilateral: a+b+c=d = 360
[/B]
The Attempt at a Solution
What do you do with the exterior angle?
105+80+130+a+x=360
a+130+x=360Ray Vickson said:How would you find ##x## from the information in the diagram?
Frank212 said:a+130+x=360
180-100=80
x=80
130+80+85= 295
360-295=65
a=65
A polygon is a two-dimensional shape that is made up of straight lines connected together to form a closed shape. It can have three or more sides and angles.
To find the sum of interior angles in a polygon, you can use the formula: (n-2) x 180, where n is the number of sides in the polygon. For example, a triangle (3 sides) has a sum of interior angles of (3-2) x 180 = 180 degrees.
The sum of the interior angles in a polygon is always (n-2) x 180, where n is the number of sides. This means that as the number of sides increases, the sum of interior angles also increases.
To find the measure of each interior angle in a regular polygon, you can divide the sum of interior angles by the number of sides. For example, a regular hexagon (6 sides) has a sum of interior angles of (6-2) x 180 = 720 degrees. Therefore, each interior angle is 720/6 = 120 degrees.
No, all interior angles in a polygon have the same measurement if the polygon is regular. If the polygon is irregular, it can have different interior angle measurements, but they will still follow the same formula of (n-2) x 180.