What is the sum of the measures of the angles of a convex quadrilateral?
What is the sum of the measures of the angles of a convex quadrilateral?
The sum of measures of a convex quadilateral is 360 degrees, Because a quadilateral is made of two triangles. Since a triangle has 180 degrees, we can add that twice and conclude a quadrilateral is made up of 360 degree.
What is the measure of the convex quadrilateral?
Convex Quadrilaterals A convex quadrilateral is a four sided polygon that has interior angles that measure less than 180 degrees each.
What is the sum of the angles of a convex polygon with number of sides is 6?
Polygon having six sides is called a hexagon. Hence each interior angle is 1080. Answer: (a) Since sum of linear pair angles is 1800.
What is the angle sum of a convex polygon with number of sides?
The exterior angle sum theorem states that the sum of the exterior angles of a convex polygon is 360°. If a convex polygon is regular with “n” number of sides, then each exterior angle of a convex polygon is measured as 360°/n.
What is the angle sum of a convex polygon with 8 sides?
An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.
What can you say about the angle sum of a convex polygon with 10 sides?
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .
What is the sum of a convex polygon with 3 sides?
What can you say about the angle sum of a convex polygon with number of sides? Therefore, 1 x 180= 180 degrees. Therefore, 2 x 180= 360 degrees. Therefore, 3 x 180= 540 degrees.
What is the sum of a convex polygon with number of 12 sides?
Answer. =1800° ans.
What is the sum of 12 sided polygon?
So, the sum of the interior angles of a dodecagon is 1800 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)…
What is the sum of interior angles of a 9 sided shape?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Octagon | 8 | 1080° |
| Nonagon | 9 | 1260° |
| … | … | .. |
| Any Polygon | n | (n−2) × 180° |