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

Question

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

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(b + 108^{\circ}=180^{\circ}\).
Solving for \(b\):
\(b=180^{\circ}- 108^{\circ}\)
\(b = 72^{\circ}\)

Step2: Use the property of vertical angles

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

Answer:

\(b = 72\), \(c = 108\)