Question

$\angle doa$ is a straight line measuring $180^{circ}$. find the value of $x$.

Explanation:

Step1: Set up equation

Since $\angle DOA = 180^{\circ}$ and $\angle DOA=\angle DOC+\angle COB+\angle BOA$, we have the equation $67 + x+41=180$.

Step2: Simplify left - hand side

Combine like terms: $67 + 41+x=108 + x$. So the equation becomes $108 + x=180$.

Step3: Solve for x

Subtract 108 from both sides: $x=180 - 108$.
$x = 72$.

Answer:

$72$