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question find the measure of the missing angles. answer attempt 2 out o…

Question

question
find the measure of the missing angles.
answer attempt 2 out of 2
b = ∘ c = ∘
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Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). For angle \(b\) and \(108^{\circ}\), we have \(b + 108^{\circ}=180^{\circ}\). Solving for \(b\), we get \(b = 180^{\circ}- 108^{\circ}=72^{\circ}\).

Step2: Use the property of vertical angles

Vertical angles are equal. Angle \(c\) and \(108^{\circ}\) are vertical angles. So \(c = 108^{\circ}\).

Answer:

\(b = 72^{\circ}\), \(c = 108^{\circ}\)