Question

find x
m<qmp = 129°
(x + 64)°
(x + 85)°

Explanation:

Step1: Set up the equation

Since $\angle QMP=(x + 64)^{\circ}+(x + 85)^{\circ}$ and $\angle QMP = 129^{\circ}$, we have the equation $(x + 64)+(x + 85)=129$.

Step2: Combine like - terms

$x+x+64 + 85=129$, which simplifies to $2x+149 = 129$.

Step3: Isolate the variable term

Subtract 149 from both sides: $2x=129 - 149$, so $2x=-20$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{-20}{2}=-10$.

Answer:

$x=-10$