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4. if $d^{circ}=140^{circ}$, what is the value of $g^{circ}$?

Question

  1. if $d^{circ}=140^{circ}$, what is the value of $g^{circ}$?

Explanation:

Step1: Find the value of \(c\)

Since \(a + 80^{\circ}=180^{\circ}\) (linear - pair of angles), then \(a = 100^{\circ}\). And \(c=a\) (vertically - opposite angles), so \(c = 100^{\circ}\).

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

If the two horizontal lines are parallel, then \(g = c\) (corresponding angles). So \(g = 100^{\circ}\).

Answer:

\(100^{\circ}\)