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find the measure of the missing angles. answer attempt 1 out of 2 b = c…

Question

find the measure of the missing angles. answer attempt 1 out of 2 b = c =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the \(28^{\circ}\) angle are vertical angles. So \(b = 28^{\circ}\).

Step2: Use linear - pair property

Angles \(b\) and \(c\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(c=180 - b\). Substituting \(b = 28^{\circ}\), we get \(c = 180-28=152^{\circ}\).

Answer:

\(b = 28^{\circ}\), \(c = 152^{\circ}\)