Question

1. solve for x. m∠13=(4x + 11)°, m∠14=(3x + 1)°.

Explanation:

Step1: Set up the equation

Since $\angle13$ and $\angle14$ are supplementary (their sum is 180°), we have the equation $(4x + 11)+(3x + 1)=180$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $4x+3x+11 + 1=180$, which simplifies to $7x+12 = 180$.

Step3: Isolate the variable term

Subtract 12 from both sides of the equation: $7x+12-12=180 - 12$, resulting in $7x=168$.

Step4: Solve for x

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

Answer:

$x = 24$