Question

1. if $d^{circ}=130^{circ}$, what is the value of $g^{circ}$?

Explanation:

Step1: Find the value of \(e^{\circ}\)

Since \(d^{\circ}+e^{\circ} = 180^{\circ}\) (linear - pair of angles), and \(d = 130^{\circ}\), then \(e=180 - 130=50^{\circ}\).

Step2: Use the property of parallel lines (assuming the two horizontal lines are parallel)

For the two - parallel lines and the transversal, we know that the sum of the interior angles on the same side of the transversal for the two non - parallel lines connecting them: \(60 + g+50=180\) (using the angle - sum property for the "Z" or "U" - shaped figure formed by the parallel lines and the connecting lines).

Step3: Solve for \(g\)

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Answer:

\(60^{\circ}\)