OUTLINE

A triangle has angle measures of 75°, 41°, and (3x+19)". Solve for x.

I. Given information:

A triangle has angle measures of 75°, 41°, and (3x+19)°.

II. Use the fact that the sum of the angles in a triangle is always 180° to set up an equation:
75 + 41 + (3x+19) = 180

III. Solve for x:
116 + 3x + 19 = 180
3x + 135 = 180
3x = 45
x = 15

IV. The value of x is 15.