The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle

x=7, so the smallest angle would be 44?

Step-by-step explanation:

Okay, so in a triangle, all the angles have to add up to 180°. So your equation would be 44 + (5x+20) + (9x+18) = 180

So in order to find the smallest angle, you have to find x, so let's simplify the equation.

Add the like terms (5x + 9x = 14x) and then the regular integers (44 + 20 + 18 = 82)

So now we have 14x + 82 = 180. Subtract 82 from both sides of the equation, and you will have 14x = 98.

Divide both sides by 14, and you will get x = 7.

Now plug this in to both equations, and see which one is the smallest.

9(7) + 18 = 63 + 18 = 81

5(7) + 20 = 35 + 20 = 55

I'm not sure whether or not your problem meant "find the smallest angle with a variable" or just the smallest angle in general, but I hope this helps.