Question

find the value of the variable and the measure of each abject angle. x = (type a whole number.)

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so set the two angle expressions equal: $x + 29 = 3x - 25$.

Step2: Solve for x

Subtract $x$ from both sides: $29 = 2x - 25$.
Add 25 to both sides: $54 = 2x$.
Divide by 2: $x = 27$.

Answer:

27