Question

a. $x = 12$ b. $x = 24$ c. $x = 60$ d. $x = 71$ (3x - 1)$^{0}$ (4x + 13)$^{0}$ 9.

Explanation:

Step1: Identify angle - relationship

Assume the two angles are supplementary (since no other information is given and they are adjacent - formed by two parallel lines and a transversal). Supplementary angles sum to 180°. So, $(3x - 1)+(4x + 13)=180$.

Step2: Simplify the left - hand side

Combine like terms: $3x+4x-1 + 13=180$, which gives $7x+12 = 180$.

Step3: Isolate the variable term

Subtract 12 from both sides: $7x=180 - 12$, so $7x=168$.

Step4: Solve for x

Divide both sides by 7: $x=\frac{168}{7}=24$.

Answer:

B. $x = 24$