A trapezium is inscribed in a circle. If one of its angles is double the other find the angles of the trapezium

An angle is double its complement. Find the angle

A trapezium ABCD is inscribed into a semicircle of radius l so that the base AD of the trapezium is a diameter and the vertices B & C lie on the circumference . Find the base angle theta of the trapezium ABCD which has the greatest perimeter .

A trapezium ABCD is inscribed into a semicircle of radius l so that the base AD of the trapezium is a diameter and the vertices B & C lie on the circumference. Find the base angle theta of the trapezium ABCD which has the greatest perimeter.

The area of a trapezium is 126 sq .cm .the height of the trapezium is 7 cm .If one of the bases is longer than the other by 6cm , find the lengths of the bases .

A right angled trapezium is circumscribed about a circle. Find the radius of the circle. If the lengtyhs of the bases (i.e.parallel sides ) are equal to a and b.

A right angled trapezium is circumscribed about a circle. Find the radius of the circle if the lengths of the bases (i.e.parallel sides ) are equal to a and b .

A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then A) the diameter of the inscribed circle is the geometric mean of the lengths of the parallel sides B) the diameter of the inscribed circle is the harmonic mean of the lengths of the parallel sides C) the area of the trapezium is the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium D) the area of the trapezium is half the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium

Given that a right angled trapezium has an inscribed circle.Prove that the length of the right angled leg is the Harmonic mean of the lengths of bases