Respuesta :

The values of x are

1. x = 32°,

2. x = 15°,

3. x = 49°,

4. x = 65°,

Explanation:

  • The angle made by any right angle is 90° and the angle made by a straight line is 180°. These are the main equations required to solve the values of x. The first 2 are right angles and the last 2 are straight lines. So the sum of the components within that right angle is 90° and for a straight line is 180°.
  • For diagram 1; 2x° + x° - 6° = 90°, 3x° = 90° + 6° = 96°, x =  [tex]\frac{96}{3}[/tex] = 32°.
  • For diagram 2; 4x° + 3° + x° + 12° = 90°, 5x° = 90° - 15° = 75°, x =  [tex]\frac{75}{5}[/tex] = 15°.
  • For diagram 3; x° + 33° + 2x° = 180°, 3x° = 180° - 33 = 147°, x =  [tex]\frac{147}{3}[/tex] = 49°.
  • For diagram 4; 2x° + 1° + x° - 16° = 180°, 3x° = 180° + 15° = 195°, x = [tex]\frac{195}{3}[/tex] = 65°.