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in this video we are going to learn about inscribed quadrilaterals in circles so first lets just draw a circle now an inscribed quadrilateral this word inscribed means inside the circle such that all the points on the quadrilateral are on the circle so an example of an inscribed quadrilateral would be this it is a shape with four sides so its a quadrilateral and all four vertices are on the circle so this is an inscribed quadrilateral and inscribed quadrilaterals have one interesting property which is that their opposite angles are always supplementary and it doesnt matter what circle it is or what inscribed quadrilateral it is this will always be the case and so what that means is that if we call these angles a B C and D we know that the measure of angle A plus the measure of angle C equals 180 degrees so these two angles right here are supplementary and similarly these two angles will be supplementary so the measure of angle B plus the measure of angle D also equals 180 degrees n