Question

Please help me with this problem !!

Answer 1

Since a pentagon can be divided into 3 triangles and each triangle has interior angles equal to 180, 3 * 80 = 540.  All the interior angles of a pentagon add up to equal 540.  We are given the first one of 140.  That is where we will start.  The angle right next to that one to the right is supplementary to the 60 degree exterior angle, so the measure of the next interior angle is 180 - 60 = 120.  The angle next to that in line has an exterior angle measure of 84.  So 180 - 84 = 96.   Next in line is an angle with an exterior measure of 68, so 180 - 68 = 112. Adding up all the bolded angle measures gives us that the last interior angle measures 72.  But we want the measure of x which is an exterior angle.  72 and x are supplementary, therefore, 180 - 72 = x.  x = 108.  Choice B.