what is the value of x?\no x = 2.25\no x = 11.25\no x = 13\no x = 22\n(2x + 10)°\n(6x + 1)°\n79°

Explanation:

Step1: Identify angle - relationship

The angles ((6x + 1)^{\circ}) and ((2x+10)^{\circ}+79^{\circ}) are vertical angles, so they are equal. So, (6x + 1=2x + 10+79).

Step2: Simplify the equation

First, simplify the right - hand side of the equation: (2x+10 + 79=2x+89). The equation becomes (6x + 1=2x+89).

Step3: Isolate the variable x

Subtract (2x) from both sides: (6x-2x + 1=2x-2x+89), which simplifies to (4x+1 = 89). Then subtract 1 from both sides: (4x+1 - 1=89 - 1), getting (4x=88). Finally, divide both sides by 4: (x=\frac{88}{4}=22).

Answer:

(x = 22)