Math Education Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees. Level: School, College, Mathematics Education. Distance learning.

Online Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees. Level: High School, College, Mathematics Education

The figure below shows a quadrilateral ABCD with angle BAD = 90 degrees, angle ACB = 30 degrees, angle ADB = angle BDC = x, and angle CBD = 2x. If angle BCD is obtuse, find x.

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees