Problem 695: Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. Level: High School, College, Math Ed.
The figure shows a
quadrilateral ABCD with angle ABD = 54 degrees, angle DBC = 63
degrees, angle ACB = 38 degrees, and angle ACD = 27 degrees, Find
the measure of the angle CAD.
How to Solve It, Interactive Mind Map
George Pólya's 1945 book "How to Solve It, A new
aspect of Mathematical Method", is a book
describing methods of problem solving. It
suggests the following steps when solving a
mathematical problem: (1) First, you have to
understand the problem. (2) After understanding,
then make a plan. (3) Carry out the plan. (4)
Look back on your work. How could it be better?
Mind Map Help. To see a note: Hover over a yellow note button. To Fold/Unfold: click a branch. To Pan: click and drag the map canvas.