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

Answer 1

To solve for x, we'll use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Given that the angle measures of the triangle are 75, 41, and 3x + 19, the sum of these angles is:

75 + 41 + (3x + 19)

Simplifying:

135 + 3x + 19

154 + 3x

We know that the sum of the interior angles is 180 degrees, so we can set up the equation:

154 + 3x = 180

Now, let's solve for x:

3x = 180 - 154

3x = 26

x = 26/3

Therefore, x is equal to 26/3 or approximately 8.67.