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6. find the measure of this angle. type a response

Question

  1. find the measure of this angle. type a response

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the angle we want to find be \(\angle1\). We know that \(\angle1 + 72^{\circ}=180^{\circ}\) (they form a linear - pair).

Step2: Solve for \(\angle1\)

Subtract \(72^{\circ}\) from both sides of the equation: \(\angle1=180^{\circ}-72^{\circ}\)

Answer:

\(108^{\circ}\)