For this case we have that by definition, a flat angle is the space between an intersection between two lines whose opening measures 180 degrees.
Then, if we look at the figure we have to:
[tex]2x + 3x = 180\\5x = 180\\x = \frac {180} {5}\\x = 36[/tex]
Thus, the angle ABC is [tex]2x = 2 * 36 = 72[/tex], less than 90 degrees, so it is an acute angle.
The CBD angle is[tex]3x = 3 * 36 = 10[/tex]8, greater than 90 degrees, so it is an obtuse angle.
ANswer:
[tex]x = 36[/tex]
ABC is acute angle
CBD is obtuse angle
