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angle ∠abc is supplementary to angle ∠ dbc. what is the measure degree?…

Question

angle ∠abc is supplementary to angle ∠ dbc. what is the measure degree? final answer:

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). Let \(\angle ABC = 100^{\circ}\) and \(\angle DBC=x\). Then \(100 + x=180\).

Step2: Solve for \(x\)

Subtract \(100\) from both sides of the equation \(100 + x=180\). So \(x = 180-100\).

Answer:

\(80\)