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

Answer 1

To find x, we can set up an equation based on the sum of the angles in a triangle, which is always 180°.

The equation would be: 75° + 41° + (3× + 19)° = 180°

Combine like terms on the left side: 116° + 3× + 19 = 180°

Subtract 116 from both sides: 3× + 19 = 180° - 116°

Simplify: 3× + 19 = 64°

Subtract 19 from both sides: 3× = 64° - 19°

Simplify: 3× = 45°

Divide both sides by 3: x = 45° / 3

Simplify: x = 15°

Therefore, x is equal to 15°.