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What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
What is the interior and exterior angle of 23-gon?
Exterior angles add up to 360 degrees Interior angles add up to 3780 degrees
How do you find interior and exterior angles of a polygon?
Use a protractor
Sum of the angles of a 15- gon?
The exterior angles sum to 3600 , but the interior angles sum to 23400.
What is the relationship between interior and exterior angles in triangles?
An interior angle of a triangle is the angle between two edges, measured inside the triangle. An exterior angle is formed by extending one of the edges outside the triangle, and measuring between that extension and the adjacent original side of the triangle. The sum of the interior angle and exterior angle at any given corner is always 1800 (which is Pi radians).
What is the least number of angles an acute triangle can have?
All acute triangles have 3 interior angles and 3 exterior angles. This is true for all triangles.
What are the angles on the outside of triangles?
They are its exterior angles and the 3 exterior angles of a triangle add up to 360 degrees whereas its 3 interior angles add up to 180 degrees.
How do you find the sum of the measures of the angles of a quadrilateral?
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
Do equilateral triangles have congruent interior angles?
Yes, equilateral triangles have congruent interior angles, and each of the three interior angles measures 60 degrees.
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
What do you know about the angles and the linesegments of triangles?
Triangles are joined together by 3 line segments Triangles have 3 interior angles that add up to 180 degrees Triangles have 3 exterior angles that add up to 360 degrees Triangles have no diagonals Triangles will tessellate Triangles can be scalene, obtuse, right angle, isosceles or equilateral Triangles have a perimeter which is the sum of their 3 sides
What generalization can you make about the angles of a triangles?
The interior angles total up to 180 degrees and the exterior angles total up to 360 degrees.
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
What is the sum of the measures of the exterior and interior angles of a convex 24-gon?
The sum of the exterior angles of any convex polygon is always 360 degrees. The sum of the interior angles of any convex n-gon is (n-2) * 180 degrees, because any convex n-gon can be represented as n-2 triangles, and the sum of the interior angles of a triangle is 180 degrees.
What are the properties of regular hexagon?
6 equal sides 6 equal exterior angles of 60 degrees 6 equal interior angles of 120 degrees Capable of tessellation 4 interior triangles 9 diagonals
What is relationship between exterior angles and opposite interior angles of a triangle?
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
