Question

the diagram shows $overleftrightarrow{ab}$, $overrightarrow{cd}$, and $overrightarrow{ce}$. what is the value of $g$? $g = square$

Explanation:

Step1: Recall angle - sum property at a point

The sum of angles around a point is 360°.

Step2: Set up the equation

We know that \(31^{\circ}+g^{\circ}+82^{\circ}+180^{\circ}=360^{\circ}\) (the straight - line angle \(\angle BCE = 180^{\circ}\)).

Step3: Simplify the left - hand side of the equation

\(31 + g+82 + 180=293 + g\).

Step4: Solve for \(g\)

\(293+g = 360\), then \(g=360 - 293\).
\(g = 67\).

Answer:

67