Question

Find the value of x.
In photo
Please help and thank you so much

Answer 1

The values of x are

1. x = 8°,

1. x = 23°,

1. x = 9°,

1. x = 26°,

1. x = 10°,

1. x = 13°.

Explanation:

• The angle made by any right angle is 90°. This is the main equation required to solve the values of x. All 6 of the given diagrams are at right angles. So the sum of the components within that right angle is 90°.
• For diagram 1; 6x° + 42° = 90°, 6x = 90° - 42° = 48°, x = $\frac{48}{6}$ = 8°.
• For diagram 2; 20 + x + + 2x + 1 = 90°, 3x = 90° - 21° = 69°, x = $\frac{69}{3}$ = 23°.

• For diagram 3; 6x + 5 + 31 = 90°, 6x = 90° - 36° = 69°, x = $\frac{54}{6}$ = 9°.

• For diagram 4; x + 11 + 53 = 90°, x = 90° - 64° = 26°.

• For diagram 5; 2x + 8 + 6x + 2 = 90°, 8x = 90° - 10° = 80°, x = $\frac{80}{8}$ = 10°.

• For diagram 6; 4x + 2x + 12 = 90°, 6x = 90° - 12° = 78°, x = $\frac{78}{6}$ = 13°.