pentagon has 2 x unknows and 3 90 degree angles

Question

figure has 3 90 degree angles. start at left corner 1 angle, 2nd corner 2nd angle, 3rd corner is 3rd 90 deg. <.  continue up the figure , the next < is x, last < is x.    So, there are 3 (90 degree angles) and 2 xs.  I need to find x.

                                            x                        x

                                             _____________

                                            /                       \

                                           /                         \

                                          /                           \

                90 de <              .                             .    90 degree angle

                                           \                          /

                                              \                     /

                                                \                /

                                                  \           /

                                                     \     /

                                                        .                   90 degree angle

Answer 1

What is the total number of degrees in the angles of a pentagon?

 

The formula is 180 (n - 2) , where n is the number of sides.  So in a pentagon, n is 5, so the total number of degrees is 180 * 3 = 540

 

The three 90-degree angles account for a total of 270, so that leaves 540 - 270 = 270 for the other two angles.  270 / 2 is 135, so each of the other two angles is 135 degrees.