Question

d the measure of the missing angles. 64° answer attempt 1 out of 2 b = ° c = °

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle \(b\) and the given \(64^{\circ}\) angle are vertical angles.
\(b = 64^{\circ}\)

Step2: Identify supplementary - angle relationship

Angle \(c\) and the \(64^{\circ}\) angle are supplementary (a linear - pair). The sum of supplementary angles is \(180^{\circ}\).
\(c=180 - 64\)
\(c = 116^{\circ}\)

Answer:

\(b = 64^{\circ}\), \(c = 116^{\circ}\)