Question

the measure of \\( \angle 5 \\) is \\( 110 ^ { \circ } \\). find the remaining angle measures.
complete the statement.
\\( \angle 5 \\) and \\( \angle 6 \\) form a straight line, so their
measures add up to \\( 180 \\) °.
what is \\( m \angle 6 \\) ?
\\( m \angle 5 + m \angle 6 = 180 ^ { \circ } \\)
\\( 110 ^ { \circ } + m \angle 6 = 180 ^ { \circ } \\)
\\( m \angle 6 = \\)

Explanation:

Step1: Solve for \(m\angle6\)

Given \(m\angle5 + m\angle6=180^{\circ}\) and \(m\angle5 = 110^{\circ}\).
Substitute \(m\angle5\) into the equation: \(110^{\circ}+m\angle6 = 180^{\circ}\).

Step2: Isolate \(m\angle6\)

Subtract \(110^{\circ}\) from both sides of the equation.
\(m\angle6=180^{\circ}- 110^{\circ}\).

Answer:

\(70\)