# opposite angles of a quadrilateral

The exterior angle, ∠BCE, is 180 - `y` = `x`. Solve for the value of x. ABCD is a convex quadrilateral satisfying the following: AB= BC= CD, AD= DB, and \angle BAD= 75^\circ. Sum of interior angles equals 360°. There are special types of quadrilateral: Some types are also included in the definition of other types! This is so in a square and a rectangle and an isosceles trapezium. See how some of them touch the circle with all four corners, while other ones have one or two corners that are just kind of floating around? Example 1 : In the figure given below, PQ is a diameter of a circle with centre O. A quadrilateral whose all the four vertices lie on the circumference of the same circle is called a cyclic quadrilateral. Now look at the measurements for the other triangles—they also add up to 180º! 8.40, points M and N are taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AM = CN. edit close. Find (i)

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