Answer:
The value of x is 11 ⇒ answer B
Step-by-step explanation:
* lets check the properties of the square
- Its four aides are equal
- Its four angles are equal and the measure of each one is 90°
- Its diagonals bisect its vertices
∵ BD is a diagonal of the square
∴ BD bisects angle B
∴ m∠ABD = m∠CBD
∵ B is a vertex of the square
∴ m∠B = 90°
∴ m∠ABD = m∠CBD = 90 ÷ 2 = 45°
∵ m∠ABD = (5x - 10)°
∴ (5x - 10)° = 45° ⇒ add 10 to each side
∴ 5x = 55 ⇒ divide both sides by 5
∴ x = 11
* The value of x is 11
