Question

m∠hgz = x + 31, m∠hgf = 88°, and m∠zgf = x + 67. find x.

Explanation:

Step1: Use angle - addition postulate

Since $\angle HGF=\angle HGZ+\angle ZGF$, we can write the equation $(x + 31)+(x + 67)=88$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms on the left - hand side of the equation: $2x+31 + 67=88$, which simplifies to $2x+98 = 88$.

Step3: Isolate the variable term

Subtract 98 from both sides of the equation: $2x=88 - 98$, so $2x=-10$.

Step4: Solve for $x$

Divide both sides of the equation by 2: $x=\frac{-10}{2}=-5$.

Answer:

-5