0
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Lao
TaigaAdd your answer:
Earn +20 pts
What is the sum of the measures of the interior angles of a convex?
It depends on convex WHAT!
What is the name of a quadrilateral with two right angles?
It is a convex quadrilateral, as the remaining angles could be any two angles with a sum of 180 degrees.
The sum of the interior of the angles of a convex quadrilateral is?
Interior angles of any quadrilateral always total 360o.
Find the sum of the measures of the angles in a convex heptagon?
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
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.
