convex equilaterals??

[dolor]

The measure of the four interior angles of a convex quadrilateral are x, 2x, x+20, and x+40 degrees. What is the measure of the smallest interior angle of the quadrilateral?

[sql_lall]

Interior angle sum of quadrilateral = 360 degrees.

You have the four angles, so you can write x in terms of 360...
find x...
substitute back to find all angles...
find the smallest (in this case, = x)

[alkatran]

Quadrilateral has 360 degrees total on inside.
(x) + (2x) + (x+20) + (x+40) = 360
2x + x + x + 20 + 40 = 360
4x + 60 = 360
4x = 300
x = 75

[Acidic]

Originally posted by alkatran
Quadrilateral has 360 degrees total on inside.
(x) + (2x) + (x+20) + (x+40) = 360
2x + x + x + 20 + 40 = 360
4x + 60 = 360
4x = 300
x = 75

almost, you missed out one x:
(x) + (2x) + (x+20) + (x+40) = 360
x + 2x + x + x + 20 + 40 = 360
5x + 60 = 360
5x = 300
x = 60

[alkatran]

Haha, woops. That's what happens when we have a minute left before we need to leave.