Question

DUE VERY SOON URGENT PLEASE HELP!!

Answer 1

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 =  $\frac{96}{3}$ = 32°.

• For diagram 2; 4x° + 3° + x° + 12° = 90°, 5x° = 90° - 15° = 75°, x =  $\frac{75}{5}$ = 15°.

• For diagram 3; x° + 33° + 2x° = 180°, 3x° = 180° - 33 = 147°, x =  $\frac{147}{3}$ = 49°.

• For diagram 4; 2x° + 1° + x° - 16° = 180°, 3x° = 180° + 15° = 195°, x = $\frac{195}{3}$ = 65°.