Question

your answer what is the measure of angle g? *

Explanation:

Step1: Calculate the sum of interior angles of a pentagon

The formula for the sum of interior angles of an \(n\) - sided polygon is \((n - 2)\times180^{\circ}\). For a pentagon (\(n=5\)), the sum is \((5 - 2)\times180^{\circ}=540^{\circ}\).

Step2: Set up an equation to find \(g\)

Let the angles of the pentagon be \(g\), \(117^{\circ}\), \(108^{\circ}\), and two other angles. We know that in the given figure, we can use the sum of angles.
\(g+117 + 108+90 + 66+130=540\) (the \(90^{\circ}\) is from the right - angle in the figure).
\(g+(117 + 108+90 + 66+130)=540\)
\(g + 511=540\)

Step3: Solve for \(g\)

Subtract \(511\) from both sides of the equation: \(g=540 - 511\)

Answer:

\(29^{\circ}\)