Question

∠5 is a supplement of ∠6, and ( m∠5 = 78^{circ} ). find ( m∠6 ). ( m∠6=square^{circ} )

Explanation:

Step1: Recall the definition of supplementary angles

If two angles are supplementary, then the sum of their measures is \(180^{\circ}\). So, \(m\angle5 + m\angle6=180^{\circ}\)

Step2: Solve for \(m\angle6\)

Given \(m\angle5 = 78^{\circ}\), substitute into the equation: \(m\angle6=180^{\circ}-m\angle5\)
\(m\angle6 = 180^{\circ}- 78^{\circ}\)
\(m\angle6=102^{\circ}\)

Answer:

\(102\)