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

Question

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Answer 1

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

Therefore, we can write the equation:

75° + 41° + (3x + 19)° = 180°

Combining like terms, we have:

(3x + 135)° = 180°

Next, we can isolate the variable by subtracting 135 from both sides:

3x = 180° - 135°

3x = 45°

Finally, we can solve for x by dividing both sides by 3:

x = 45° / 3

x = 15°

Therefore, x is equal to 15 degrees.