Question

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

Answer 1

To solve for x, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

So, we can write an equation to represent this fact:

75 + 41 + (3x + 19) = 180.

Simplifying the equation, we have:

135 + 3x + 19 = 180.

Combining like terms, we get:

3x + 154 = 180.

Subtracting 154 from both sides, we have:

3x = 26.

Dividing both sides by 3, we get:

x = 26/3.

Therefore, x = 8.6667 (rounded to four decimal places).