Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle \(b\) and the \(21^{\circ}\) angle are vertical angles.
So \(b = 21^{\circ}\).

Step2: Identify supplementary - angle relationship

Angle \(c\) and the \(21^{\circ}\) angle are supplementary (they form a straight - line). The sum of supplementary angles is \(180^{\circ}\).
So \(c=180 - 21\).
\(c = 159^{\circ}\)

Answer:

\(b = 21^{\circ}\), \(c = 159^{\circ}\)